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Finding the Third Proportional to 111,370 and 235,160

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Solution

The third proportional to 111,370 and 235,160 is: 496,545.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,370 : 235,160 = 235,160 : x
  2. Step 2: Convert to fraction form
    111,370/235,160 = 235,160/x
  3. Step 3: Cross multiply
    111,370x = 235,160 × 235,160
  4. Step 4: Simplify right side
    111,370x = 55,300,225,600
  5. Step 5: Solve for x
    x = 55,300,225,600/111,370
  6. Step 6: Final answer
    x = 496,545.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.