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Finding the Third Proportional to 136,810.50 and 292,534.50

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Solution

The third proportional to 136,810.50 and 292,534.50 is: 625,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,810.50 : 292,534.50 = 292,534.50 : x
  2. Step 2: Convert to fraction form
    136,810.50/292,534.50 = 292,534.50/x
  3. Step 3: Cross multiply
    136,810.50x = 292,534.50 × 292,534.50
  4. Step 4: Simplify right side
    136,810.50x = 85,576,433,690.25
  5. Step 5: Solve for x
    x = 85,576,433,690.25/136,810.50
  6. Step 6: Final answer
    x = 625,510.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.