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Finding the Third Proportional to 140,901.19 and 288,702.56

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Solution

The third proportional to 140,901.19 and 288,702.56 is: 591,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,901.19 : 288,702.56 = 288,702.56 : x
  2. Step 2: Convert to fraction form
    140,901.19/288,702.56 = 288,702.56/x
  3. Step 3: Cross multiply
    140,901.19x = 288,702.56 × 288,702.56
  4. Step 4: Simplify right side
    140,901.19x = 83,349,169,594.07
  5. Step 5: Solve for x
    x = 83,349,169,594.07/140,901.19
  6. Step 6: Final answer
    x = 591,543.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.