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Finding the Third Proportional to 136,051.50 and 317,702.63

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Solution

The third proportional to 136,051.50 and 317,702.63 is: 741,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,051.50 : 317,702.63 = 317,702.63 : x
  2. Step 2: Convert to fraction form
    136,051.50/317,702.63 = 317,702.63/x
  3. Step 3: Cross multiply
    136,051.50x = 317,702.63 × 317,702.63
  4. Step 4: Simplify right side
    136,051.50x = 100,934,957,931.89
  5. Step 5: Solve for x
    x = 100,934,957,931.89/136,051.50
  6. Step 6: Final answer
    x = 741,887.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.