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Finding the Third Proportional to 215,062.59 and 334,352.81

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Solution

The third proportional to 215,062.59 and 334,352.81 is: 519,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,062.59 : 334,352.81 = 334,352.81 : x
  2. Step 2: Convert to fraction form
    215,062.59/334,352.81 = 334,352.81/x
  3. Step 3: Cross multiply
    215,062.59x = 334,352.81 × 334,352.81
  4. Step 4: Simplify right side
    215,062.59x = 111,791,803,226.66
  5. Step 5: Solve for x
    x = 111,791,803,226.66/215,062.59
  6. Step 6: Final answer
    x = 519,810.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.