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Finding the Third Proportional to 147,280.78 and 215,168.91

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Solution

The third proportional to 147,280.78 and 215,168.91 is: 314,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,280.78 : 215,168.91 = 215,168.91 : x
  2. Step 2: Convert to fraction form
    147,280.78/215,168.91 = 215,168.91/x
  3. Step 3: Cross multiply
    147,280.78x = 215,168.91 × 215,168.91
  4. Step 4: Simplify right side
    147,280.78x = 46,297,658,216.82
  5. Step 5: Solve for x
    x = 46,297,658,216.82/147,280.78
  6. Step 6: Final answer
    x = 314,349.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.