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Finding the Third Proportional to 140,580 and 215,046

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Solution

The third proportional to 140,580 and 215,046 is: 328,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,580 : 215,046 = 215,046 : x
  2. Step 2: Convert to fraction form
    140,580/215,046 = 215,046/x
  3. Step 3: Cross multiply
    140,580x = 215,046 × 215,046
  4. Step 4: Simplify right side
    140,580x = 46,244,782,116
  5. Step 5: Solve for x
    x = 46,244,782,116/140,580
  6. Step 6: Final answer
    x = 328,957.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.