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Finding the Third Proportional to 144,068 and 334,928

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Solution

The third proportional to 144,068 and 334,928 is: 778,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,068 : 334,928 = 334,928 : x
  2. Step 2: Convert to fraction form
    144,068/334,928 = 334,928/x
  3. Step 3: Cross multiply
    144,068x = 334,928 × 334,928
  4. Step 4: Simplify right side
    144,068x = 112,176,765,184
  5. Step 5: Solve for x
    x = 112,176,765,184/144,068
  6. Step 6: Final answer
    x = 778,637.62

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.