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Finding the Third Proportional to 107,466 and 234,618

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Solution

The third proportional to 107,466 and 234,618 is: 512,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,466 : 234,618 = 234,618 : x
  2. Step 2: Convert to fraction form
    107,466/234,618 = 234,618/x
  3. Step 3: Cross multiply
    107,466x = 234,618 × 234,618
  4. Step 4: Simplify right side
    107,466x = 55,045,605,924
  5. Step 5: Solve for x
    x = 55,045,605,924/107,466
  6. Step 6: Final answer
    x = 512,214.15

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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.