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Finding the Third Proportional to 176,552 and 392,334

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Solution

The third proportional to 176,552 and 392,334 is: 871,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,552 : 392,334 = 392,334 : x
  2. Step 2: Convert to fraction form
    176,552/392,334 = 392,334/x
  3. Step 3: Cross multiply
    176,552x = 392,334 × 392,334
  4. Step 4: Simplify right side
    176,552x = 153,925,967,556
  5. Step 5: Solve for x
    x = 153,925,967,556/176,552
  6. Step 6: Final answer
    x = 871,844.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.