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Finding the Third Proportional to 88,688 and 197,060

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Solution

The third proportional to 88,688 and 197,060 is: 437,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,688 : 197,060 = 197,060 : x
  2. Step 2: Convert to fraction form
    88,688/197,060 = 197,060/x
  3. Step 3: Cross multiply
    88,688x = 197,060 × 197,060
  4. Step 4: Simplify right side
    88,688x = 38,832,643,600
  5. Step 5: Solve for x
    x = 38,832,643,600/88,688
  6. Step 6: Final answer
    x = 437,856.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.