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Finding the Third Proportional to 137,484.84 and 207,901.69

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Solution

The third proportional to 137,484.84 and 207,901.69 is: 314,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,484.84 : 207,901.69 = 207,901.69 : x
  2. Step 2: Convert to fraction form
    137,484.84/207,901.69 = 207,901.69/x
  3. Step 3: Cross multiply
    137,484.84x = 207,901.69 × 207,901.69
  4. Step 4: Simplify right side
    137,484.84x = 43,223,111,665.35
  5. Step 5: Solve for x
    x = 43,223,111,665.35/137,484.84
  6. Step 6: Final answer
    x = 314,384.56

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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.