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Finding the Third Proportional to 153,826 and 232,787

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Solution

The third proportional to 153,826 and 232,787 is: 352,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,826 : 232,787 = 232,787 : x
  2. Step 2: Convert to fraction form
    153,826/232,787 = 232,787/x
  3. Step 3: Cross multiply
    153,826x = 232,787 × 232,787
  4. Step 4: Simplify right side
    153,826x = 54,189,787,369
  5. Step 5: Solve for x
    x = 54,189,787,369/153,826
  6. Step 6: Final answer
    x = 352,279.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.