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Finding the Third Proportional to 114,534 and 232,290

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Solution

The third proportional to 114,534 and 232,290 is: 471,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,534 : 232,290 = 232,290 : x
  2. Step 2: Convert to fraction form
    114,534/232,290 = 232,290/x
  3. Step 3: Cross multiply
    114,534x = 232,290 × 232,290
  4. Step 4: Simplify right side
    114,534x = 53,958,644,100
  5. Step 5: Solve for x
    x = 53,958,644,100/114,534
  6. Step 6: Final answer
    x = 471,114.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.