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Finding the Third Proportional to 160,297.88 and 250,151.63

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Solution

The third proportional to 160,297.88 and 250,151.63 is: 390,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,297.88 : 250,151.63 = 250,151.63 : x
  2. Step 2: Convert to fraction form
    160,297.88/250,151.63 = 250,151.63/x
  3. Step 3: Cross multiply
    160,297.88x = 250,151.63 × 250,151.63
  4. Step 4: Simplify right side
    160,297.88x = 62,575,835,490.14
  5. Step 5: Solve for x
    x = 62,575,835,490.14/160,297.88
  6. Step 6: Final answer
    x = 390,372.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.