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Finding the Third Proportional to 145,224 and 318,396

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Solution

The third proportional to 145,224 and 318,396 is: 698,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,224 : 318,396 = 318,396 : x
  2. Step 2: Convert to fraction form
    145,224/318,396 = 318,396/x
  3. Step 3: Cross multiply
    145,224x = 318,396 × 318,396
  4. Step 4: Simplify right side
    145,224x = 101,376,012,816
  5. Step 5: Solve for x
    x = 101,376,012,816/145,224
  6. Step 6: Final answer
    x = 698,066.52

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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.