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Finding the Third Proportional to 165,681 and 258,354

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Solution

The third proportional to 165,681 and 258,354 is: 402,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,681 : 258,354 = 258,354 : x
  2. Step 2: Convert to fraction form
    165,681/258,354 = 258,354/x
  3. Step 3: Cross multiply
    165,681x = 258,354 × 258,354
  4. Step 4: Simplify right side
    165,681x = 66,746,789,316
  5. Step 5: Solve for x
    x = 66,746,789,316/165,681
  6. Step 6: Final answer
    x = 402,863.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.