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Finding the Third Proportional to 119,220 and 167,098.50

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Solution

The third proportional to 119,220 and 167,098.50 is: 234,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,220 : 167,098.50 = 167,098.50 : x
  2. Step 2: Convert to fraction form
    119,220/167,098.50 = 167,098.50/x
  3. Step 3: Cross multiply
    119,220x = 167,098.50 × 167,098.50
  4. Step 4: Simplify right side
    119,220x = 27,921,908,702.25
  5. Step 5: Solve for x
    x = 27,921,908,702.25/119,220
  6. Step 6: Final answer
    x = 234,204.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.