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Finding the Third Proportional to 175,461.75 and 250,069.50

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Solution

The third proportional to 175,461.75 and 250,069.50 is: 356,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,461.75 : 250,069.50 = 250,069.50 : x
  2. Step 2: Convert to fraction form
    175,461.75/250,069.50 = 250,069.50/x
  3. Step 3: Cross multiply
    175,461.75x = 250,069.50 × 250,069.50
  4. Step 4: Simplify right side
    175,461.75x = 62,534,754,830.25
  5. Step 5: Solve for x
    x = 62,534,754,830.25/175,461.75
  6. Step 6: Final answer
    x = 356,401.07

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.