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Finding the Third Proportional to 165,570.19 and 357,606.56

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Solution

The third proportional to 165,570.19 and 357,606.56 is: 772,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,570.19 : 357,606.56 = 357,606.56 : x
  2. Step 2: Convert to fraction form
    165,570.19/357,606.56 = 357,606.56/x
  3. Step 3: Cross multiply
    165,570.19x = 357,606.56 × 357,606.56
  4. Step 4: Simplify right side
    165,570.19x = 127,882,453,543.07
  5. Step 5: Solve for x
    x = 127,882,453,543.07/165,570.19
  6. Step 6: Final answer
    x = 772,376.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.