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Finding the Third Proportional to 177,235.59 and 272,423.81

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Solution

The third proportional to 177,235.59 and 272,423.81 is: 418,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,235.59 : 272,423.81 = 272,423.81 : x
  2. Step 2: Convert to fraction form
    177,235.59/272,423.81 = 272,423.81/x
  3. Step 3: Cross multiply
    177,235.59x = 272,423.81 × 272,423.81
  4. Step 4: Simplify right side
    177,235.59x = 74,214,733,617.04
  5. Step 5: Solve for x
    x = 74,214,733,617.04/177,235.59
  6. Step 6: Final answer
    x = 418,734.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.