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Finding the Third Proportional to 152,155.61 and 236,539.32

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Solution

The third proportional to 152,155.61 and 236,539.32 is: 367,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,155.61 : 236,539.32 = 236,539.32 : x
  2. Step 2: Convert to fraction form
    152,155.61/236,539.32 = 236,539.32/x
  3. Step 3: Cross multiply
    152,155.61x = 236,539.32 × 236,539.32
  4. Step 4: Simplify right side
    152,155.61x = 55,950,850,169.40
  5. Step 5: Solve for x
    x = 55,950,850,169.40/152,155.61
  6. Step 6: Final answer
    x = 367,721.24

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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.