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Finding the Third Proportional to 134,894.50 and 197,967.50

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Solution

The third proportional to 134,894.50 and 197,967.50 is: 290,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,894.50 : 197,967.50 = 197,967.50 : x
  2. Step 2: Convert to fraction form
    134,894.50/197,967.50 = 197,967.50/x
  3. Step 3: Cross multiply
    134,894.50x = 197,967.50 × 197,967.50
  4. Step 4: Simplify right side
    134,894.50x = 39,191,131,056.25
  5. Step 5: Solve for x
    x = 39,191,131,056.25/134,894.50
  6. Step 6: Final answer
    x = 290,531.72

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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.