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Finding the Third Proportional to 152,149.13 and 236,835

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Solution

The third proportional to 152,149.13 and 236,835 is: 368,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,149.13 : 236,835 = 236,835 : x
  2. Step 2: Convert to fraction form
    152,149.13/236,835 = 236,835/x
  3. Step 3: Cross multiply
    152,149.13x = 236,835 × 236,835
  4. Step 4: Simplify right side
    152,149.13x = 56,090,817,225
  5. Step 5: Solve for x
    x = 56,090,817,225/152,149.13
  6. Step 6: Final answer
    x = 368,656.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.