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Finding the Third Proportional to 147,538.13 and 228,507.75

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Solution

The third proportional to 147,538.13 and 228,507.75 is: 353,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,538.13 : 228,507.75 = 228,507.75 : x
  2. Step 2: Convert to fraction form
    147,538.13/228,507.75 = 228,507.75/x
  3. Step 3: Cross multiply
    147,538.13x = 228,507.75 × 228,507.75
  4. Step 4: Simplify right side
    147,538.13x = 52,215,791,810.06
  5. Step 5: Solve for x
    x = 52,215,791,810.06/147,538.13
  6. Step 6: Final answer
    x = 353,913.89

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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.