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Finding the Third Proportional to 150,235 and 304,618

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Solution

The third proportional to 150,235 and 304,618 is: 617,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,235 : 304,618 = 304,618 : x
  2. Step 2: Convert to fraction form
    150,235/304,618 = 304,618/x
  3. Step 3: Cross multiply
    150,235x = 304,618 × 304,618
  4. Step 4: Simplify right side
    150,235x = 92,792,125,924
  5. Step 5: Solve for x
    x = 92,792,125,924/150,235
  6. Step 6: Final answer
    x = 617,646.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.