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Finding the Third Proportional to 142,966 and 210,289

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Solution

The third proportional to 142,966 and 210,289 is: 309,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,966 : 210,289 = 210,289 : x
  2. Step 2: Convert to fraction form
    142,966/210,289 = 210,289/x
  3. Step 3: Cross multiply
    142,966x = 210,289 × 210,289
  4. Step 4: Simplify right side
    142,966x = 44,221,463,521
  5. Step 5: Solve for x
    x = 44,221,463,521/142,966
  6. Step 6: Final answer
    x = 309,314.55

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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.