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Finding the Third Proportional to 159,076 and 215,270

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Solution

The third proportional to 159,076 and 215,270 is: 291,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,076 : 215,270 = 215,270 : x
  2. Step 2: Convert to fraction form
    159,076/215,270 = 215,270/x
  3. Step 3: Cross multiply
    159,076x = 215,270 × 215,270
  4. Step 4: Simplify right side
    159,076x = 46,341,172,900
  5. Step 5: Solve for x
    x = 46,341,172,900/159,076
  6. Step 6: Final answer
    x = 291,314.67

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.