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Finding the Third Proportional to 149,469 and 228,582

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Solution

The third proportional to 149,469 and 228,582 is: 349,569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,469 : 228,582 = 228,582 : x
  2. Step 2: Convert to fraction form
    149,469/228,582 = 228,582/x
  3. Step 3: Cross multiply
    149,469x = 228,582 × 228,582
  4. Step 4: Simplify right side
    149,469x = 52,249,730,724
  5. Step 5: Solve for x
    x = 52,249,730,724/149,469
  6. Step 6: Final answer
    x = 349,569.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.