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Finding the Third Proportional to 159,127.50 and 346,659

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Solution

The third proportional to 159,127.50 and 346,659 is: 755,196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,127.50 : 346,659 = 346,659 : x
  2. Step 2: Convert to fraction form
    159,127.50/346,659 = 346,659/x
  3. Step 3: Cross multiply
    159,127.50x = 346,659 × 346,659
  4. Step 4: Simplify right side
    159,127.50x = 120,172,462,281
  5. Step 5: Solve for x
    x = 120,172,462,281/159,127.50
  6. Step 6: Final answer
    x = 755,196.07

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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.