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Finding the Third Proportional to 147,969 and 323,618

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Solution

The third proportional to 147,969 and 323,618 is: 707,773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,969 : 323,618 = 323,618 : x
  2. Step 2: Convert to fraction form
    147,969/323,618 = 323,618/x
  3. Step 3: Cross multiply
    147,969x = 323,618 × 323,618
  4. Step 4: Simplify right side
    147,969x = 104,728,609,924
  5. Step 5: Solve for x
    x = 104,728,609,924/147,969
  6. Step 6: Final answer
    x = 707,773.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.