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Finding the Third Proportional to 141,402 and 207,351

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Solution

The third proportional to 141,402 and 207,351 is: 304,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,402 : 207,351 = 207,351 : x
  2. Step 2: Convert to fraction form
    141,402/207,351 = 207,351/x
  3. Step 3: Cross multiply
    141,402x = 207,351 × 207,351
  4. Step 4: Simplify right side
    141,402x = 42,994,437,201
  5. Step 5: Solve for x
    x = 42,994,437,201/141,402
  6. Step 6: Final answer
    x = 304,058.20

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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.