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Finding the Third Proportional to 176,568.56 and 386,146.31

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Solution

The third proportional to 176,568.56 and 386,146.31 is: 844,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,568.56 : 386,146.31 = 386,146.31 : x
  2. Step 2: Convert to fraction form
    176,568.56/386,146.31 = 386,146.31/x
  3. Step 3: Cross multiply
    176,568.56x = 386,146.31 × 386,146.31
  4. Step 4: Simplify right side
    176,568.56x = 149,108,974,657.35
  5. Step 5: Solve for x
    x = 149,108,974,657.35/176,568.56
  6. Step 6: Final answer
    x = 844,482.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.