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Finding the Third Proportional to 129,897 and 266,233.50

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Solution

The third proportional to 129,897 and 266,233.50 is: 545,665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,897 : 266,233.50 = 266,233.50 : x
  2. Step 2: Convert to fraction form
    129,897/266,233.50 = 266,233.50/x
  3. Step 3: Cross multiply
    129,897x = 266,233.50 × 266,233.50
  4. Step 4: Simplify right side
    129,897x = 70,880,276,522.25
  5. Step 5: Solve for x
    x = 70,880,276,522.25/129,897
  6. Step 6: Final answer
    x = 545,665.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.