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Finding the Third Proportional to 237,465.50 and 349,919.50

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Solution

The third proportional to 237,465.50 and 349,919.50 is: 515,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,465.50 : 349,919.50 = 349,919.50 : x
  2. Step 2: Convert to fraction form
    237,465.50/349,919.50 = 349,919.50/x
  3. Step 3: Cross multiply
    237,465.50x = 349,919.50 × 349,919.50
  4. Step 4: Simplify right side
    237,465.50x = 122,443,656,480.25
  5. Step 5: Solve for x
    x = 122,443,656,480.25/237,465.50
  6. Step 6: Final answer
    x = 515,627.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.