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Finding the Third Proportional to 261,751.50 and 542,943

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Solution

The third proportional to 261,751.50 and 542,943 is: 1,126,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,751.50 : 542,943 = 542,943 : x
  2. Step 2: Convert to fraction form
    261,751.50/542,943 = 542,943/x
  3. Step 3: Cross multiply
    261,751.50x = 542,943 × 542,943
  4. Step 4: Simplify right side
    261,751.50x = 294,787,101,249
  5. Step 5: Solve for x
    x = 294,787,101,249/261,751.50
  6. Step 6: Final answer
    x = 1,126,209.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.