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Finding the Third Proportional to 159,282 and 240,961.50

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Solution

The third proportional to 159,282 and 240,961.50 is: 364,526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,282 : 240,961.50 = 240,961.50 : x
  2. Step 2: Convert to fraction form
    159,282/240,961.50 = 240,961.50/x
  3. Step 3: Cross multiply
    159,282x = 240,961.50 × 240,961.50
  4. Step 4: Simplify right side
    159,282x = 58,062,444,482.25
  5. Step 5: Solve for x
    x = 58,062,444,482.25/159,282
  6. Step 6: Final answer
    x = 364,526.09

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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.