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Finding the Third Proportional to 266,948 and 359,562

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Solution

The third proportional to 266,948 and 359,562 is: 484,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,948 : 359,562 = 359,562 : x
  2. Step 2: Convert to fraction form
    266,948/359,562 = 359,562/x
  3. Step 3: Cross multiply
    266,948x = 359,562 × 359,562
  4. Step 4: Simplify right side
    266,948x = 129,284,831,844
  5. Step 5: Solve for x
    x = 129,284,831,844/266,948
  6. Step 6: Final answer
    x = 484,307.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.