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Finding the Third Proportional to 165,486 and 357,220.50

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Solution

The third proportional to 165,486 and 357,220.50 is: 771,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,486 : 357,220.50 = 357,220.50 : x
  2. Step 2: Convert to fraction form
    165,486/357,220.50 = 357,220.50/x
  3. Step 3: Cross multiply
    165,486x = 357,220.50 × 357,220.50
  4. Step 4: Simplify right side
    165,486x = 127,606,485,620.25
  5. Step 5: Solve for x
    x = 127,606,485,620.25/165,486
  6. Step 6: Final answer
    x = 771,101.40

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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.