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Finding the Third Proportional to 109,514 and 237,618

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Solution

The third proportional to 109,514 and 237,618 is: 515,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,514 : 237,618 = 237,618 : x
  2. Step 2: Convert to fraction form
    109,514/237,618 = 237,618/x
  3. Step 3: Cross multiply
    109,514x = 237,618 × 237,618
  4. Step 4: Simplify right side
    109,514x = 56,462,313,924
  5. Step 5: Solve for x
    x = 56,462,313,924/109,514
  6. Step 6: Final answer
    x = 515,571.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.