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Finding the Third Proportional to 137,089 and 317,666.50

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Solution

The third proportional to 137,089 and 317,666.50 is: 736,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,089 : 317,666.50 = 317,666.50 : x
  2. Step 2: Convert to fraction form
    137,089/317,666.50 = 317,666.50/x
  3. Step 3: Cross multiply
    137,089x = 317,666.50 × 317,666.50
  4. Step 4: Simplify right side
    137,089x = 100,912,005,222.25
  5. Step 5: Solve for x
    x = 100,912,005,222.25/137,089
  6. Step 6: Final answer
    x = 736,105.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.