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Finding the Third Proportional to 160,518 and 238,465

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Solution

The third proportional to 160,518 and 238,465 is: 354,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,518 : 238,465 = 238,465 : x
  2. Step 2: Convert to fraction form
    160,518/238,465 = 238,465/x
  3. Step 3: Cross multiply
    160,518x = 238,465 × 238,465
  4. Step 4: Simplify right side
    160,518x = 56,865,556,225
  5. Step 5: Solve for x
    x = 56,865,556,225/160,518
  6. Step 6: Final answer
    x = 354,262.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.