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Finding the Third Proportional to 162,859.50 and 238,455

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Solution

The third proportional to 162,859.50 and 238,455 is: 349,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,859.50 : 238,455 = 238,455 : x
  2. Step 2: Convert to fraction form
    162,859.50/238,455 = 238,455/x
  3. Step 3: Cross multiply
    162,859.50x = 238,455 × 238,455
  4. Step 4: Simplify right side
    162,859.50x = 56,860,787,025
  5. Step 5: Solve for x
    x = 56,860,787,025/162,859.50
  6. Step 6: Final answer
    x = 349,140.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.