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Finding the Third Proportional to 157,500 and 345,618

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Solution

The third proportional to 157,500 and 345,618 is: 758,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,500 : 345,618 = 345,618 : x
  2. Step 2: Convert to fraction form
    157,500/345,618 = 345,618/x
  3. Step 3: Cross multiply
    157,500x = 345,618 × 345,618
  4. Step 4: Simplify right side
    157,500x = 119,451,801,924
  5. Step 5: Solve for x
    x = 119,451,801,924/157,500
  6. Step 6: Final answer
    x = 758,424.14

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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.