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Finding the Third Proportional to 266,202 and 402,074

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Solution

The third proportional to 266,202 and 402,074 is: 607,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,202 : 402,074 = 402,074 : x
  2. Step 2: Convert to fraction form
    266,202/402,074 = 402,074/x
  3. Step 3: Cross multiply
    266,202x = 402,074 × 402,074
  4. Step 4: Simplify right side
    266,202x = 161,663,501,476
  5. Step 5: Solve for x
    x = 161,663,501,476/266,202
  6. Step 6: Final answer
    x = 607,296.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.