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Finding the Third Proportional to 140,135.50 and 217,088.50

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Solution

The third proportional to 140,135.50 and 217,088.50 is: 336,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,135.50 : 217,088.50 = 217,088.50 : x
  2. Step 2: Convert to fraction form
    140,135.50/217,088.50 = 217,088.50/x
  3. Step 3: Cross multiply
    140,135.50x = 217,088.50 × 217,088.50
  4. Step 4: Simplify right side
    140,135.50x = 47,127,416,832.25
  5. Step 5: Solve for x
    x = 47,127,416,832.25/140,135.50
  6. Step 6: Final answer
    x = 336,298.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.