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Finding the Third Proportional to 174,534.75 and 228,511.13

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Solution

The third proportional to 174,534.75 and 228,511.13 is: 299,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,534.75 : 228,511.13 = 228,511.13 : x
  2. Step 2: Convert to fraction form
    174,534.75/228,511.13 = 228,511.13/x
  3. Step 3: Cross multiply
    174,534.75x = 228,511.13 × 228,511.13
  4. Step 4: Simplify right side
    174,534.75x = 52,217,334,248.77
  5. Step 5: Solve for x
    x = 52,217,334,248.77/174,534.75
  6. Step 6: Final answer
    x = 299,180.16

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.