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Finding the Third Proportional to 176,146 and 392,632

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Solution

The third proportional to 176,146 and 392,632 is: 875,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,146 : 392,632 = 392,632 : x
  2. Step 2: Convert to fraction form
    176,146/392,632 = 392,632/x
  3. Step 3: Cross multiply
    176,146x = 392,632 × 392,632
  4. Step 4: Simplify right side
    176,146x = 154,159,887,424
  5. Step 5: Solve for x
    x = 154,159,887,424/176,146
  6. Step 6: Final answer
    x = 875,182.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.