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Finding the Third Proportional to 202,395 and 297,031.50

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Solution

The third proportional to 202,395 and 297,031.50 is: 435,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,395 : 297,031.50 = 297,031.50 : x
  2. Step 2: Convert to fraction form
    202,395/297,031.50 = 297,031.50/x
  3. Step 3: Cross multiply
    202,395x = 297,031.50 × 297,031.50
  4. Step 4: Simplify right side
    202,395x = 88,227,711,992.25
  5. Step 5: Solve for x
    x = 88,227,711,992.25/202,395
  6. Step 6: Final answer
    x = 435,918.44

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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.