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Finding the Third Proportional to 145,523.81 and 318,101.06

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Solution

The third proportional to 145,523.81 and 318,101.06 is: 695,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,523.81 : 318,101.06 = 318,101.06 : x
  2. Step 2: Convert to fraction form
    145,523.81/318,101.06 = 318,101.06/x
  3. Step 3: Cross multiply
    145,523.81x = 318,101.06 × 318,101.06
  4. Step 4: Simplify right side
    145,523.81x = 101,188,285,963.63
  5. Step 5: Solve for x
    x = 101,188,285,963.63/145,523.81
  6. Step 6: Final answer
    x = 695,338.34

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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.