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Finding the Third Proportional to 136,734.01 and 216,339.29

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Solution

The third proportional to 136,734.01 and 216,339.29 is: 342,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,734.01 : 216,339.29 = 216,339.29 : x
  2. Step 2: Convert to fraction form
    136,734.01/216,339.29 = 216,339.29/x
  3. Step 3: Cross multiply
    136,734.01x = 216,339.29 × 216,339.29
  4. Step 4: Simplify right side
    136,734.01x = 46,802,689,682.22
  5. Step 5: Solve for x
    x = 46,802,689,682.22/136,734.01
  6. Step 6: Final answer
    x = 342,290.04

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.