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Finding the Third Proportional to 234,030.50 and 342,713.50

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Solution

The third proportional to 234,030.50 and 342,713.50 is: 501,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,030.50 : 342,713.50 = 342,713.50 : x
  2. Step 2: Convert to fraction form
    234,030.50/342,713.50 = 342,713.50/x
  3. Step 3: Cross multiply
    234,030.50x = 342,713.50 × 342,713.50
  4. Step 4: Simplify right side
    234,030.50x = 117,452,543,082.25
  5. Step 5: Solve for x
    x = 117,452,543,082.25/234,030.50
  6. Step 6: Final answer
    x = 501,868.53

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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.