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Finding the Third Proportional to 155,446 and 240,038

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Solution

The third proportional to 155,446 and 240,038 is: 370,664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,446 : 240,038 = 240,038 : x
  2. Step 2: Convert to fraction form
    155,446/240,038 = 240,038/x
  3. Step 3: Cross multiply
    155,446x = 240,038 × 240,038
  4. Step 4: Simplify right side
    155,446x = 57,618,241,444
  5. Step 5: Solve for x
    x = 57,618,241,444/155,446
  6. Step 6: Final answer
    x = 370,664.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.