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Finding the Third Proportional to 147,955.50 and 228,838.50

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Solution

The third proportional to 147,955.50 and 228,838.50 is: 353,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,955.50 : 228,838.50 = 228,838.50 : x
  2. Step 2: Convert to fraction form
    147,955.50/228,838.50 = 228,838.50/x
  3. Step 3: Cross multiply
    147,955.50x = 228,838.50 × 228,838.50
  4. Step 4: Simplify right side
    147,955.50x = 52,367,059,082.25
  5. Step 5: Solve for x
    x = 52,367,059,082.25/147,955.50
  6. Step 6: Final answer
    x = 353,937.90

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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.