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Finding the Third Proportional to 144,964 and 319,356

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Solution

The third proportional to 144,964 and 319,356 is: 703,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,964 : 319,356 = 319,356 : x
  2. Step 2: Convert to fraction form
    144,964/319,356 = 319,356/x
  3. Step 3: Cross multiply
    144,964x = 319,356 × 319,356
  4. Step 4: Simplify right side
    144,964x = 101,988,254,736
  5. Step 5: Solve for x
    x = 101,988,254,736/144,964
  6. Step 6: Final answer
    x = 703,541.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.