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Finding the Third Proportional to 235,461 and 342,250.50

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Solution

The third proportional to 235,461 and 342,250.50 is: 497,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,461 : 342,250.50 = 342,250.50 : x
  2. Step 2: Convert to fraction form
    235,461/342,250.50 = 342,250.50/x
  3. Step 3: Cross multiply
    235,461x = 342,250.50 × 342,250.50
  4. Step 4: Simplify right side
    235,461x = 117,135,404,750.25
  5. Step 5: Solve for x
    x = 117,135,404,750.25/235,461
  6. Step 6: Final answer
    x = 497,472.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.