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Finding the Third Proportional to 107,000.50 and 253,044.50

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Solution

The third proportional to 107,000.50 and 253,044.50 is: 598,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,000.50 : 253,044.50 = 253,044.50 : x
  2. Step 2: Convert to fraction form
    107,000.50/253,044.50 = 253,044.50/x
  3. Step 3: Cross multiply
    107,000.50x = 253,044.50 × 253,044.50
  4. Step 4: Simplify right side
    107,000.50x = 64,031,518,980.25
  5. Step 5: Solve for x
    x = 64,031,518,980.25/107,000.50
  6. Step 6: Final answer
    x = 598,422.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.