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Finding the Third Proportional to 342,243.50 and 532,033

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Solution

The third proportional to 342,243.50 and 532,033 is: 827,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,243.50 : 532,033 = 532,033 : x
  2. Step 2: Convert to fraction form
    342,243.50/532,033 = 532,033/x
  3. Step 3: Cross multiply
    342,243.50x = 532,033 × 532,033
  4. Step 4: Simplify right side
    342,243.50x = 283,059,113,089
  5. Step 5: Solve for x
    x = 283,059,113,089/342,243.50
  6. Step 6: Final answer
    x = 827,069.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.