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Finding the Third Proportional to 112,352 and 245,816

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Solution

The third proportional to 112,352 and 245,816 is: 537,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,352 : 245,816 = 245,816 : x
  2. Step 2: Convert to fraction form
    112,352/245,816 = 245,816/x
  3. Step 3: Cross multiply
    112,352x = 245,816 × 245,816
  4. Step 4: Simplify right side
    112,352x = 60,425,505,856
  5. Step 5: Solve for x
    x = 60,425,505,856/112,352
  6. Step 6: Final answer
    x = 537,823.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.