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Finding the Third Proportional to 198,586.50 and 432,117

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Solution

The third proportional to 198,586.50 and 432,117 is: 940,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,586.50 : 432,117 = 432,117 : x
  2. Step 2: Convert to fraction form
    198,586.50/432,117 = 432,117/x
  3. Step 3: Cross multiply
    198,586.50x = 432,117 × 432,117
  4. Step 4: Simplify right side
    198,586.50x = 186,725,101,689
  5. Step 5: Solve for x
    x = 186,725,101,689/198,586.50
  6. Step 6: Final answer
    x = 940,270.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.