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Finding the Third Proportional to 157,334 and 235,955

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Solution

The third proportional to 157,334 and 235,955 is: 353,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,334 : 235,955 = 235,955 : x
  2. Step 2: Convert to fraction form
    157,334/235,955 = 235,955/x
  3. Step 3: Cross multiply
    157,334x = 235,955 × 235,955
  4. Step 4: Simplify right side
    157,334x = 55,674,762,025
  5. Step 5: Solve for x
    x = 55,674,762,025/157,334
  6. Step 6: Final answer
    x = 353,863.51

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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.