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Finding the Third Proportional to 147,298.50 and 220,887

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Solution

The third proportional to 147,298.50 and 220,887 is: 331,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,298.50 : 220,887 = 220,887 : x
  2. Step 2: Convert to fraction form
    147,298.50/220,887 = 220,887/x
  3. Step 3: Cross multiply
    147,298.50x = 220,887 × 220,887
  4. Step 4: Simplify right side
    147,298.50x = 48,791,066,769
  5. Step 5: Solve for x
    x = 48,791,066,769/147,298.50
  6. Step 6: Final answer
    x = 331,239.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.