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Finding the Third Proportional to 232,494.05 and 359,112.23

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Solution

The third proportional to 232,494.05 and 359,112.23 is: 554,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,494.05 : 359,112.23 = 359,112.23 : x
  2. Step 2: Convert to fraction form
    232,494.05/359,112.23 = 359,112.23/x
  3. Step 3: Cross multiply
    232,494.05x = 359,112.23 × 359,112.23
  4. Step 4: Simplify right side
    232,494.05x = 128,961,596,877.81
  5. Step 5: Solve for x
    x = 128,961,596,877.81/232,494.05
  6. Step 6: Final answer
    x = 554,687.74

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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.