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Finding the Third Proportional to 162,500 and 259,490

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Solution

The third proportional to 162,500 and 259,490 is: 414,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,500 : 259,490 = 259,490 : x
  2. Step 2: Convert to fraction form
    162,500/259,490 = 259,490/x
  3. Step 3: Cross multiply
    162,500x = 259,490 × 259,490
  4. Step 4: Simplify right side
    162,500x = 67,335,060,100
  5. Step 5: Solve for x
    x = 67,335,060,100/162,500
  6. Step 6: Final answer
    x = 414,369.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.