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Finding the Third Proportional to 175,533.75 and 272,332.13

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Solution

The third proportional to 175,533.75 and 272,332.13 is: 422,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,533.75 : 272,332.13 = 272,332.13 : x
  2. Step 2: Convert to fraction form
    175,533.75/272,332.13 = 272,332.13/x
  3. Step 3: Cross multiply
    175,533.75x = 272,332.13 × 272,332.13
  4. Step 4: Simplify right side
    175,533.75x = 74,164,786,307.02
  5. Step 5: Solve for x
    x = 74,164,786,307.02/175,533.75
  6. Step 6: Final answer
    x = 422,510.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.