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Finding the Third Proportional to 133,038 and 307,670

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Solution

The third proportional to 133,038 and 307,670 is: 711,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038 : 307,670 = 307,670 : x
  2. Step 2: Convert to fraction form
    133,038/307,670 = 307,670/x
  3. Step 3: Cross multiply
    133,038x = 307,670 × 307,670
  4. Step 4: Simplify right side
    133,038x = 94,660,828,900
  5. Step 5: Solve for x
    x = 94,660,828,900/133,038
  6. Step 6: Final answer
    x = 711,532.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.