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Finding the Third Proportional to 180,468 and 392,106

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Solution

The third proportional to 180,468 and 392,106 is: 851,935.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,468 : 392,106 = 392,106 : x
  2. Step 2: Convert to fraction form
    180,468/392,106 = 392,106/x
  3. Step 3: Cross multiply
    180,468x = 392,106 × 392,106
  4. Step 4: Simplify right side
    180,468x = 153,747,115,236
  5. Step 5: Solve for x
    x = 153,747,115,236/180,468
  6. Step 6: Final answer
    x = 851,935.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.