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Finding the Third Proportional to 266,625 and 375,043

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Solution

The third proportional to 266,625 and 375,043 is: 527,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,625 : 375,043 = 375,043 : x
  2. Step 2: Convert to fraction form
    266,625/375,043 = 375,043/x
  3. Step 3: Cross multiply
    266,625x = 375,043 × 375,043
  4. Step 4: Simplify right side
    266,625x = 140,657,251,849
  5. Step 5: Solve for x
    x = 140,657,251,849/266,625
  6. Step 6: Final answer
    x = 527,547.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.