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Finding the Third Proportional to 157,116 and 235,047

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Solution

The third proportional to 157,116 and 235,047 is: 351,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,116 : 235,047 = 235,047 : x
  2. Step 2: Convert to fraction form
    157,116/235,047 = 235,047/x
  3. Step 3: Cross multiply
    157,116x = 235,047 × 235,047
  4. Step 4: Simplify right side
    157,116x = 55,247,092,209
  5. Step 5: Solve for x
    x = 55,247,092,209/157,116
  6. Step 6: Final answer
    x = 351,632.50

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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.