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Finding the Third Proportional to 125,863.50 and 266,307

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Solution

The third proportional to 125,863.50 and 266,307 is: 563,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,863.50 : 266,307 = 266,307 : x
  2. Step 2: Convert to fraction form
    125,863.50/266,307 = 266,307/x
  3. Step 3: Cross multiply
    125,863.50x = 266,307 × 266,307
  4. Step 4: Simplify right side
    125,863.50x = 70,919,418,249
  5. Step 5: Solve for x
    x = 70,919,418,249/125,863.50
  6. Step 6: Final answer
    x = 563,462.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.