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Finding the Third Proportional to 240,534 and 373,923

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Solution

The third proportional to 240,534 and 373,923 is: 581,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,534 : 373,923 = 373,923 : x
  2. Step 2: Convert to fraction form
    240,534/373,923 = 373,923/x
  3. Step 3: Cross multiply
    240,534x = 373,923 × 373,923
  4. Step 4: Simplify right side
    240,534x = 139,818,409,929
  5. Step 5: Solve for x
    x = 139,818,409,929/240,534
  6. Step 6: Final answer
    x = 581,283.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.