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Finding the Third Proportional to 154,618 and 220,514

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Solution

The third proportional to 154,618 and 220,514 is: 314,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,618 : 220,514 = 220,514 : x
  2. Step 2: Convert to fraction form
    154,618/220,514 = 220,514/x
  3. Step 3: Cross multiply
    154,618x = 220,514 × 220,514
  4. Step 4: Simplify right side
    154,618x = 48,626,424,196
  5. Step 5: Solve for x
    x = 48,626,424,196/154,618
  6. Step 6: Final answer
    x = 314,493.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.