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Finding the Third Proportional to 171,006 and 371,218.50

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Solution

The third proportional to 171,006 and 371,218.50 is: 805,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,006 : 371,218.50 = 371,218.50 : x
  2. Step 2: Convert to fraction form
    171,006/371,218.50 = 371,218.50/x
  3. Step 3: Cross multiply
    171,006x = 371,218.50 × 371,218.50
  4. Step 4: Simplify right side
    171,006x = 137,803,174,742.25
  5. Step 5: Solve for x
    x = 137,803,174,742.25/171,006
  6. Step 6: Final answer
    x = 805,838.24

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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.