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Finding the Third Proportional to 233,565 and 361,239

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Solution

The third proportional to 233,565 and 361,239 is: 558,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,565 : 361,239 = 361,239 : x
  2. Step 2: Convert to fraction form
    233,565/361,239 = 361,239/x
  3. Step 3: Cross multiply
    233,565x = 361,239 × 361,239
  4. Step 4: Simplify right side
    233,565x = 130,493,615,121
  5. Step 5: Solve for x
    x = 130,493,615,121/233,565
  6. Step 6: Final answer
    x = 558,703.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.