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Finding the Third Proportional to 131,347.50 and 208,017.50

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Solution

The third proportional to 131,347.50 and 208,017.50 is: 329,441.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,347.50 : 208,017.50 = 208,017.50 : x
  2. Step 2: Convert to fraction form
    131,347.50/208,017.50 = 208,017.50/x
  3. Step 3: Cross multiply
    131,347.50x = 208,017.50 × 208,017.50
  4. Step 4: Simplify right side
    131,347.50x = 43,271,280,306.25
  5. Step 5: Solve for x
    x = 43,271,280,306.25/131,347.50
  6. Step 6: Final answer
    x = 329,441.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.