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Finding the Third Proportional to 109,217 and 233,618

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Solution

The third proportional to 109,217 and 233,618 is: 499,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,217 : 233,618 = 233,618 : x
  2. Step 2: Convert to fraction form
    109,217/233,618 = 233,618/x
  3. Step 3: Cross multiply
    109,217x = 233,618 × 233,618
  4. Step 4: Simplify right side
    109,217x = 54,577,369,924
  5. Step 5: Solve for x
    x = 54,577,369,924/109,217
  6. Step 6: Final answer
    x = 499,714.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.