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Finding the Third Proportional to 142,428 and 213,252

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Solution

The third proportional to 142,428 and 213,252 is: 319,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,428 : 213,252 = 213,252 : x
  2. Step 2: Convert to fraction form
    142,428/213,252 = 213,252/x
  3. Step 3: Cross multiply
    142,428x = 213,252 × 213,252
  4. Step 4: Simplify right side
    142,428x = 45,476,415,504
  5. Step 5: Solve for x
    x = 45,476,415,504/142,428
  6. Step 6: Final answer
    x = 319,294.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.