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Finding the Third Proportional to 174,216 and 245,342

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Solution

The third proportional to 174,216 and 245,342 is: 345,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,216 : 245,342 = 245,342 : x
  2. Step 2: Convert to fraction form
    174,216/245,342 = 245,342/x
  3. Step 3: Cross multiply
    174,216x = 245,342 × 245,342
  4. Step 4: Simplify right side
    174,216x = 60,192,696,964
  5. Step 5: Solve for x
    x = 60,192,696,964/174,216
  6. Step 6: Final answer
    x = 345,506.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.