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Finding the Third Proportional to 235,062 and 342,747

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Solution

The third proportional to 235,062 and 342,747 is: 499,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,062 : 342,747 = 342,747 : x
  2. Step 2: Convert to fraction form
    235,062/342,747 = 342,747/x
  3. Step 3: Cross multiply
    235,062x = 342,747 × 342,747
  4. Step 4: Simplify right side
    235,062x = 117,475,506,009
  5. Step 5: Solve for x
    x = 117,475,506,009/235,062
  6. Step 6: Final answer
    x = 499,763.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.