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Finding the Third Proportional to 207,535 and 304,416.50

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Solution

The third proportional to 207,535 and 304,416.50 is: 446,524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,535 : 304,416.50 = 304,416.50 : x
  2. Step 2: Convert to fraction form
    207,535/304,416.50 = 304,416.50/x
  3. Step 3: Cross multiply
    207,535x = 304,416.50 × 304,416.50
  4. Step 4: Simplify right side
    207,535x = 92,669,405,472.25
  5. Step 5: Solve for x
    x = 92,669,405,472.25/207,535
  6. Step 6: Final answer
    x = 446,524.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.