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Finding the Third Proportional to 217,734.75 and 342,154.13

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Solution

The third proportional to 217,734.75 and 342,154.13 is: 537,670.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,734.75 : 342,154.13 = 342,154.13 : x
  2. Step 2: Convert to fraction form
    217,734.75/342,154.13 = 342,154.13/x
  3. Step 3: Cross multiply
    217,734.75x = 342,154.13 × 342,154.13
  4. Step 4: Simplify right side
    217,734.75x = 117,069,445,254.52
  5. Step 5: Solve for x
    x = 117,069,445,254.52/217,734.75
  6. Step 6: Final answer
    x = 537,670.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.