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Finding the Third Proportional to 207,312.50 and 312,429.75

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Solution

The third proportional to 207,312.50 and 312,429.75 is: 470,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,312.50 : 312,429.75 = 312,429.75 : x
  2. Step 2: Convert to fraction form
    207,312.50/312,429.75 = 312,429.75/x
  3. Step 3: Cross multiply
    207,312.50x = 312,429.75 × 312,429.75
  4. Step 4: Simplify right side
    207,312.50x = 97,612,348,685.06
  5. Step 5: Solve for x
    x = 97,612,348,685.06/207,312.50
  6. Step 6: Final answer
    x = 470,846.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.