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Finding the Third Proportional to 160,276 and 240,438

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Solution

The third proportional to 160,276 and 240,438 is: 360,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,276 : 240,438 = 240,438 : x
  2. Step 2: Convert to fraction form
    160,276/240,438 = 240,438/x
  3. Step 3: Cross multiply
    160,276x = 240,438 × 240,438
  4. Step 4: Simplify right side
    160,276x = 57,810,431,844
  5. Step 5: Solve for x
    x = 57,810,431,844/160,276
  6. Step 6: Final answer
    x = 360,693.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.