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Finding the Third Proportional to 165,748 and 357,704

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Solution

The third proportional to 165,748 and 357,704 is: 771,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,748 : 357,704 = 357,704 : x
  2. Step 2: Convert to fraction form
    165,748/357,704 = 357,704/x
  3. Step 3: Cross multiply
    165,748x = 357,704 × 357,704
  4. Step 4: Simplify right side
    165,748x = 127,952,151,616
  5. Step 5: Solve for x
    x = 127,952,151,616/165,748
  6. Step 6: Final answer
    x = 771,968.00

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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.