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Finding the Third Proportional to 145,370 and 218,919

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Solution

The third proportional to 145,370 and 218,919 is: 329,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,370 : 218,919 = 218,919 : x
  2. Step 2: Convert to fraction form
    145,370/218,919 = 218,919/x
  3. Step 3: Cross multiply
    145,370x = 218,919 × 218,919
  4. Step 4: Simplify right side
    145,370x = 47,925,528,561
  5. Step 5: Solve for x
    x = 47,925,528,561/145,370
  6. Step 6: Final answer
    x = 329,679.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.