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Finding the Third Proportional to 137,088 and 207,360

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Solution

The third proportional to 137,088 and 207,360 is: 313,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,088 : 207,360 = 207,360 : x
  2. Step 2: Convert to fraction form
    137,088/207,360 = 207,360/x
  3. Step 3: Cross multiply
    137,088x = 207,360 × 207,360
  4. Step 4: Simplify right side
    137,088x = 42,998,169,600
  5. Step 5: Solve for x
    x = 42,998,169,600/137,088
  6. Step 6: Final answer
    x = 313,653.78

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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.