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Finding the Third Proportional to 167,070 and 241,387.50

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Solution

The third proportional to 167,070 and 241,387.50 is: 348,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,070 : 241,387.50 = 241,387.50 : x
  2. Step 2: Convert to fraction form
    167,070/241,387.50 = 241,387.50/x
  3. Step 3: Cross multiply
    167,070x = 241,387.50 × 241,387.50
  4. Step 4: Simplify right side
    167,070x = 58,267,925,156.25
  5. Step 5: Solve for x
    x = 58,267,925,156.25/167,070
  6. Step 6: Final answer
    x = 348,763.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.