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Finding the Third Proportional to 207,537 and 311,307.75

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Solution

The third proportional to 207,537 and 311,307.75 is: 466,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,537 : 311,307.75 = 311,307.75 : x
  2. Step 2: Convert to fraction form
    207,537/311,307.75 = 311,307.75/x
  3. Step 3: Cross multiply
    207,537x = 311,307.75 × 311,307.75
  4. Step 4: Simplify right side
    207,537x = 96,912,515,210.06
  5. Step 5: Solve for x
    x = 96,912,515,210.06/207,537
  6. Step 6: Final answer
    x = 466,965.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.