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Finding the Third Proportional to 165,770 and 357,748

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Solution

The third proportional to 165,770 and 357,748 is: 772,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,770 : 357,748 = 357,748 : x
  2. Step 2: Convert to fraction form
    165,770/357,748 = 357,748/x
  3. Step 3: Cross multiply
    165,770x = 357,748 × 357,748
  4. Step 4: Simplify right side
    165,770x = 127,983,631,504
  5. Step 5: Solve for x
    x = 127,983,631,504/165,770
  6. Step 6: Final answer
    x = 772,055.45

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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.