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Finding the Third Proportional to 157,959 and 228,618

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Solution

The third proportional to 157,959 and 228,618 is: 330,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,959 : 228,618 = 228,618 : x
  2. Step 2: Convert to fraction form
    157,959/228,618 = 228,618/x
  3. Step 3: Cross multiply
    157,959x = 228,618 × 228,618
  4. Step 4: Simplify right side
    157,959x = 52,266,189,924
  5. Step 5: Solve for x
    x = 52,266,189,924/157,959
  6. Step 6: Final answer
    x = 330,884.53

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.