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Finding the Third Proportional to 176,563.13 and 392,356.13

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Solution

The third proportional to 176,563.13 and 392,356.13 is: 871,888.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,563.13 : 392,356.13 = 392,356.13 : x
  2. Step 2: Convert to fraction form
    176,563.13/392,356.13 = 392,356.13/x
  3. Step 3: Cross multiply
    176,563.13x = 392,356.13 × 392,356.13
  4. Step 4: Simplify right side
    176,563.13x = 153,943,328,825.02
  5. Step 5: Solve for x
    x = 153,943,328,825.02/176,563.13
  6. Step 6: Final answer
    x = 871,888.33

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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.