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Finding the Third Proportional to 162,663 and 250,335

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Solution

The third proportional to 162,663 and 250,335 is: 385,260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,663 : 250,335 = 250,335 : x
  2. Step 2: Convert to fraction form
    162,663/250,335 = 250,335/x
  3. Step 3: Cross multiply
    162,663x = 250,335 × 250,335
  4. Step 4: Simplify right side
    162,663x = 62,667,612,225
  5. Step 5: Solve for x
    x = 62,667,612,225/162,663
  6. Step 6: Final answer
    x = 385,260.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.