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Finding the Third Proportional to 171,073.50 and 249,914.25

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Solution

The third proportional to 171,073.50 and 249,914.25 is: 365,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,073.50 : 249,914.25 = 249,914.25 : x
  2. Step 2: Convert to fraction form
    171,073.50/249,914.25 = 249,914.25/x
  3. Step 3: Cross multiply
    171,073.50x = 249,914.25 × 249,914.25
  4. Step 4: Simplify right side
    171,073.50x = 62,457,132,353.06
  5. Step 5: Solve for x
    x = 62,457,132,353.06/171,073.50
  6. Step 6: Final answer
    x = 365,089.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.