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Finding the Third Proportional to 131,173 and 282,415

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Solution

The third proportional to 131,173 and 282,415 is: 608,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,173 : 282,415 = 282,415 : x
  2. Step 2: Convert to fraction form
    131,173/282,415 = 282,415/x
  3. Step 3: Cross multiply
    131,173x = 282,415 × 282,415
  4. Step 4: Simplify right side
    131,173x = 79,758,232,225
  5. Step 5: Solve for x
    x = 79,758,232,225/131,173
  6. Step 6: Final answer
    x = 608,038.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.