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Finding the Third Proportional to 141,390 and 207,333

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Solution

The third proportional to 141,390 and 207,333 is: 304,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,390 : 207,333 = 207,333 : x
  2. Step 2: Convert to fraction form
    141,390/207,333 = 207,333/x
  3. Step 3: Cross multiply
    141,390x = 207,333 × 207,333
  4. Step 4: Simplify right side
    141,390x = 42,986,972,889
  5. Step 5: Solve for x
    x = 42,986,972,889/141,390
  6. Step 6: Final answer
    x = 304,031.21

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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.