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Finding the Third Proportional to 157,634 and 235,875

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Solution

The third proportional to 157,634 and 235,875 is: 352,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,634 : 235,875 = 235,875 : x
  2. Step 2: Convert to fraction form
    157,634/235,875 = 235,875/x
  3. Step 3: Cross multiply
    157,634x = 235,875 × 235,875
  4. Step 4: Simplify right side
    157,634x = 55,637,015,625
  5. Step 5: Solve for x
    x = 55,637,015,625/157,634
  6. Step 6: Final answer
    x = 352,950.60

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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.