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Finding the Third Proportional to 117,594 and 258,598.13

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Solution

The third proportional to 117,594 and 258,598.13 is: 568,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,594 : 258,598.13 = 258,598.13 : x
  2. Step 2: Convert to fraction form
    117,594/258,598.13 = 258,598.13/x
  3. Step 3: Cross multiply
    117,594x = 258,598.13 × 258,598.13
  4. Step 4: Simplify right side
    117,594x = 66,872,990,253.52
  5. Step 5: Solve for x
    x = 66,872,990,253.52/117,594
  6. Step 6: Final answer
    x = 568,676.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.