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Finding the Third Proportional to 124,378.50 and 197,264

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Solution

The third proportional to 124,378.50 and 197,264 is: 312,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,378.50 : 197,264 = 197,264 : x
  2. Step 2: Convert to fraction form
    124,378.50/197,264 = 197,264/x
  3. Step 3: Cross multiply
    124,378.50x = 197,264 × 197,264
  4. Step 4: Simplify right side
    124,378.50x = 38,913,085,696
  5. Step 5: Solve for x
    x = 38,913,085,696/124,378.50
  6. Step 6: Final answer
    x = 312,860.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.