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Finding the Third Proportional to 175,275.56 and 286,178.91

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Solution

The third proportional to 175,275.56 and 286,178.91 is: 467,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,275.56 : 286,178.91 = 286,178.91 : x
  2. Step 2: Convert to fraction form
    175,275.56/286,178.91 = 286,178.91/x
  3. Step 3: Cross multiply
    175,275.56x = 286,178.91 × 286,178.91
  4. Step 4: Simplify right side
    175,275.56x = 81,898,366,382.45
  5. Step 5: Solve for x
    x = 81,898,366,382.45/175,275.56
  6. Step 6: Final answer
    x = 467,254.91

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.