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Finding the Third Proportional to 110,994 and 235,746

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Solution

The third proportional to 110,994 and 235,746 is: 500,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,994 : 235,746 = 235,746 : x
  2. Step 2: Convert to fraction form
    110,994/235,746 = 235,746/x
  3. Step 3: Cross multiply
    110,994x = 235,746 × 235,746
  4. Step 4: Simplify right side
    110,994x = 55,576,176,516
  5. Step 5: Solve for x
    x = 55,576,176,516/110,994
  6. Step 6: Final answer
    x = 500,713.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.