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Finding the Third Proportional to 160,953.33 and 346,817.95

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Solution

The third proportional to 160,953.33 and 346,817.95 is: 747,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,953.33 : 346,817.95 = 346,817.95 : x
  2. Step 2: Convert to fraction form
    160,953.33/346,817.95 = 346,817.95/x
  3. Step 3: Cross multiply
    160,953.33x = 346,817.95 × 346,817.95
  4. Step 4: Simplify right side
    160,953.33x = 120,282,692,609.82
  5. Step 5: Solve for x
    x = 120,282,692,609.82/160,953.33
  6. Step 6: Final answer
    x = 747,314.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.