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Finding the Third Proportional to 176,320.13 and 264,476.81

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Solution

The third proportional to 176,320.13 and 264,476.81 is: 396,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,320.13 : 264,476.81 = 264,476.81 : x
  2. Step 2: Convert to fraction form
    176,320.13/264,476.81 = 264,476.81/x
  3. Step 3: Cross multiply
    176,320.13x = 264,476.81 × 264,476.81
  4. Step 4: Simplify right side
    176,320.13x = 69,947,984,350.16
  5. Step 5: Solve for x
    x = 69,947,984,350.16/176,320.13
  6. Step 6: Final answer
    x = 396,710.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.