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Finding the Third Proportional to 153,381 and 235,447.50

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Solution

The third proportional to 153,381 and 235,447.50 is: 361,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,381 : 235,447.50 = 235,447.50 : x
  2. Step 2: Convert to fraction form
    153,381/235,447.50 = 235,447.50/x
  3. Step 3: Cross multiply
    153,381x = 235,447.50 × 235,447.50
  4. Step 4: Simplify right side
    153,381x = 55,435,525,256.25
  5. Step 5: Solve for x
    x = 55,435,525,256.25/153,381
  6. Step 6: Final answer
    x = 361,423.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.