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Finding the Third Proportional to 156,788 and 338,730

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Solution

The third proportional to 156,788 and 338,730 is: 731,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,788 : 338,730 = 338,730 : x
  2. Step 2: Convert to fraction form
    156,788/338,730 = 338,730/x
  3. Step 3: Cross multiply
    156,788x = 338,730 × 338,730
  4. Step 4: Simplify right side
    156,788x = 114,738,012,900
  5. Step 5: Solve for x
    x = 114,738,012,900/156,788
  6. Step 6: Final answer
    x = 731,803.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.