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Finding the Third Proportional to 176,484 and 265,128

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Solution

The third proportional to 176,484 and 265,128 is: 398,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,484 : 265,128 = 265,128 : x
  2. Step 2: Convert to fraction form
    176,484/265,128 = 265,128/x
  3. Step 3: Cross multiply
    176,484x = 265,128 × 265,128
  4. Step 4: Simplify right side
    176,484x = 70,292,856,384
  5. Step 5: Solve for x
    x = 70,292,856,384/176,484
  6. Step 6: Final answer
    x = 398,295.92

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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.