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Finding the Third Proportional to 159,084 and 346,572

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Solution

The third proportional to 159,084 and 346,572 is: 755,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,084 : 346,572 = 346,572 : x
  2. Step 2: Convert to fraction form
    159,084/346,572 = 346,572/x
  3. Step 3: Cross multiply
    159,084x = 346,572 × 346,572
  4. Step 4: Simplify right side
    159,084x = 120,112,151,184
  5. Step 5: Solve for x
    x = 120,112,151,184/159,084
  6. Step 6: Final answer
    x = 755,023.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.