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Finding the Third Proportional to 160,511.63 and 379,595.11

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Solution

The third proportional to 160,511.63 and 379,595.11 is: 897,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,511.63 : 379,595.11 = 379,595.11 : x
  2. Step 2: Convert to fraction form
    160,511.63/379,595.11 = 379,595.11/x
  3. Step 3: Cross multiply
    160,511.63x = 379,595.11 × 379,595.11
  4. Step 4: Simplify right side
    160,511.63x = 144,092,447,061.42
  5. Step 5: Solve for x
    x = 144,092,447,061.42/160,511.63
  6. Step 6: Final answer
    x = 897,707.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.