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Finding the Third Proportional to 132,998 and 284,428

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Solution

The third proportional to 132,998 and 284,428 is: 608,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,998 : 284,428 = 284,428 : x
  2. Step 2: Convert to fraction form
    132,998/284,428 = 284,428/x
  3. Step 3: Cross multiply
    132,998x = 284,428 × 284,428
  4. Step 4: Simplify right side
    132,998x = 80,899,287,184
  5. Step 5: Solve for x
    x = 80,899,287,184/132,998
  6. Step 6: Final answer
    x = 608,274.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.