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Finding the Third Proportional to 123,348.50 and 265,730

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Solution

The third proportional to 123,348.50 and 265,730 is: 572,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,348.50 : 265,730 = 265,730 : x
  2. Step 2: Convert to fraction form
    123,348.50/265,730 = 265,730/x
  3. Step 3: Cross multiply
    123,348.50x = 265,730 × 265,730
  4. Step 4: Simplify right side
    123,348.50x = 70,612,432,900
  5. Step 5: Solve for x
    x = 70,612,432,900/123,348.50
  6. Step 6: Final answer
    x = 572,462.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.