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Finding the Third Proportional to 242,514 and 510,143.06

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Solution

The third proportional to 242,514 and 510,143.06 is: 1,073,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,514 : 510,143.06 = 510,143.06 : x
  2. Step 2: Convert to fraction form
    242,514/510,143.06 = 510,143.06/x
  3. Step 3: Cross multiply
    242,514x = 510,143.06 × 510,143.06
  4. Step 4: Simplify right side
    242,514x = 260,245,944,216.88
  5. Step 5: Solve for x
    x = 260,245,944,216.88/242,514
  6. Step 6: Final answer
    x = 1,073,117.20

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.