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Finding the Third Proportional to 152,045 and 235,448

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Solution

The third proportional to 152,045 and 235,448 is: 364,601.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,045 : 235,448 = 235,448 : x
  2. Step 2: Convert to fraction form
    152,045/235,448 = 235,448/x
  3. Step 3: Cross multiply
    152,045x = 235,448 × 235,448
  4. Step 4: Simplify right side
    152,045x = 55,435,760,704
  5. Step 5: Solve for x
    x = 55,435,760,704/152,045
  6. Step 6: Final answer
    x = 364,601.01

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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.