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Finding the Third Proportional to 164,042 and 357,730

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Solution

The third proportional to 164,042 and 357,730 is: 780,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,042 : 357,730 = 357,730 : x
  2. Step 2: Convert to fraction form
    164,042/357,730 = 357,730/x
  3. Step 3: Cross multiply
    164,042x = 357,730 × 357,730
  4. Step 4: Simplify right side
    164,042x = 127,970,752,900
  5. Step 5: Solve for x
    x = 127,970,752,900/164,042
  6. Step 6: Final answer
    x = 780,109.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.