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Finding the Third Proportional to 160,928 and 240,312

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Solution

The third proportional to 160,928 and 240,312 is: 358,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,928 : 240,312 = 240,312 : x
  2. Step 2: Convert to fraction form
    160,928/240,312 = 240,312/x
  3. Step 3: Cross multiply
    160,928x = 240,312 × 240,312
  4. Step 4: Simplify right side
    160,928x = 57,749,857,344
  5. Step 5: Solve for x
    x = 57,749,857,344/160,928
  6. Step 6: Final answer
    x = 358,855.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.