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Finding the Third Proportional to 207,609.75 and 310,333.50

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Solution

The third proportional to 207,609.75 and 310,333.50 is: 463,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,609.75 : 310,333.50 = 310,333.50 : x
  2. Step 2: Convert to fraction form
    207,609.75/310,333.50 = 310,333.50/x
  3. Step 3: Cross multiply
    207,609.75x = 310,333.50 × 310,333.50
  4. Step 4: Simplify right side
    207,609.75x = 96,306,881,222.25
  5. Step 5: Solve for x
    x = 96,306,881,222.25/207,609.75
  6. Step 6: Final answer
    x = 463,884.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.