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Finding the Third Proportional to 266,182 and 407,246.50

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Solution

The third proportional to 266,182 and 407,246.50 is: 623,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,182 : 407,246.50 = 407,246.50 : x
  2. Step 2: Convert to fraction form
    266,182/407,246.50 = 407,246.50/x
  3. Step 3: Cross multiply
    266,182x = 407,246.50 × 407,246.50
  4. Step 4: Simplify right side
    266,182x = 165,849,711,762.25
  5. Step 5: Solve for x
    x = 165,849,711,762.25/266,182
  6. Step 6: Final answer
    x = 623,068.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.