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Finding the Third Proportional to 151,416.50 and 220,076

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Solution

The third proportional to 151,416.50 and 220,076 is: 319,869.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,416.50 : 220,076 = 220,076 : x
  2. Step 2: Convert to fraction form
    151,416.50/220,076 = 220,076/x
  3. Step 3: Cross multiply
    151,416.50x = 220,076 × 220,076
  4. Step 4: Simplify right side
    151,416.50x = 48,433,445,776
  5. Step 5: Solve for x
    x = 48,433,445,776/151,416.50
  6. Step 6: Final answer
    x = 319,869.01

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.