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Finding the Third Proportional to 266,368.50 and 402,316.88

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Solution

The third proportional to 266,368.50 and 402,316.88 is: 607,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,368.50 : 402,316.88 = 402,316.88 : x
  2. Step 2: Convert to fraction form
    266,368.50/402,316.88 = 402,316.88/x
  3. Step 3: Cross multiply
    266,368.50x = 402,316.88 × 402,316.88
  4. Step 4: Simplify right side
    266,368.50x = 161,858,867,909.77
  5. Step 5: Solve for x
    x = 161,858,867,909.77/266,368.50
  6. Step 6: Final answer
    x = 607,650.18

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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.