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Finding the Third Proportional to 157,618 and 236,592

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Solution

The third proportional to 157,618 and 236,592 is: 355,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,618 : 236,592 = 236,592 : x
  2. Step 2: Convert to fraction form
    157,618/236,592 = 236,592/x
  3. Step 3: Cross multiply
    157,618x = 236,592 × 236,592
  4. Step 4: Simplify right side
    157,618x = 55,975,774,464
  5. Step 5: Solve for x
    x = 55,975,774,464/157,618
  6. Step 6: Final answer
    x = 355,135.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.