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Finding the Third Proportional to 163,225.13 and 341,212.50

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Solution

The third proportional to 163,225.13 and 341,212.50 is: 713,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,225.13 : 341,212.50 = 341,212.50 : x
  2. Step 2: Convert to fraction form
    163,225.13/341,212.50 = 341,212.50/x
  3. Step 3: Cross multiply
    163,225.13x = 341,212.50 × 341,212.50
  4. Step 4: Simplify right side
    163,225.13x = 116,425,970,156.25
  5. Step 5: Solve for x
    x = 116,425,970,156.25/163,225.13
  6. Step 6: Final answer
    x = 713,284.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.