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Finding the Third Proportional to 131,702.63 and 284,465.25

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Solution

The third proportional to 131,702.63 and 284,465.25 is: 614,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,702.63 : 284,465.25 = 284,465.25 : x
  2. Step 2: Convert to fraction form
    131,702.63/284,465.25 = 284,465.25/x
  3. Step 3: Cross multiply
    131,702.63x = 284,465.25 × 284,465.25
  4. Step 4: Simplify right side
    131,702.63x = 80,920,478,457.56
  5. Step 5: Solve for x
    x = 80,920,478,457.56/131,702.63
  6. Step 6: Final answer
    x = 614,418.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.