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Finding the Third Proportional to 161,567.16 and 255,715.73

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Solution

The third proportional to 161,567.16 and 255,715.73 is: 404,726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,567.16 : 255,715.73 = 255,715.73 : x
  2. Step 2: Convert to fraction form
    161,567.16/255,715.73 = 255,715.73/x
  3. Step 3: Cross multiply
    161,567.16x = 255,715.73 × 255,715.73
  4. Step 4: Simplify right side
    161,567.16x = 65,390,536,806.95
  5. Step 5: Solve for x
    x = 65,390,536,806.95/161,567.16
  6. Step 6: Final answer
    x = 404,726.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.