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Finding the Third Proportional to 145,741 and 318,483

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Solution

The third proportional to 145,741 and 318,483 is: 695,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,741 : 318,483 = 318,483 : x
  2. Step 2: Convert to fraction form
    145,741/318,483 = 318,483/x
  3. Step 3: Cross multiply
    145,741x = 318,483 × 318,483
  4. Step 4: Simplify right side
    145,741x = 101,431,421,289
  5. Step 5: Solve for x
    x = 101,431,421,289/145,741
  6. Step 6: Final answer
    x = 695,970.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.