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Finding the Third Proportional to 150,860.75 and 207,812.50

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Solution

The third proportional to 150,860.75 and 207,812.50 is: 286,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,860.75 : 207,812.50 = 207,812.50 : x
  2. Step 2: Convert to fraction form
    150,860.75/207,812.50 = 207,812.50/x
  3. Step 3: Cross multiply
    150,860.75x = 207,812.50 × 207,812.50
  4. Step 4: Simplify right side
    150,860.75x = 43,186,035,156.25
  5. Step 5: Solve for x
    x = 43,186,035,156.25/150,860.75
  6. Step 6: Final answer
    x = 286,264.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.