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Finding the Third Proportional to 113,184 and 245,835

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Solution

The third proportional to 113,184 and 245,835 is: 533,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,184 : 245,835 = 245,835 : x
  2. Step 2: Convert to fraction form
    113,184/245,835 = 245,835/x
  3. Step 3: Cross multiply
    113,184x = 245,835 × 245,835
  4. Step 4: Simplify right side
    113,184x = 60,434,847,225
  5. Step 5: Solve for x
    x = 60,434,847,225/113,184
  6. Step 6: Final answer
    x = 533,952.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.