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Finding the Third Proportional to 144,970 and 294,040

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Solution

The third proportional to 144,970 and 294,040 is: 596,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,970 : 294,040 = 294,040 : x
  2. Step 2: Convert to fraction form
    144,970/294,040 = 294,040/x
  3. Step 3: Cross multiply
    144,970x = 294,040 × 294,040
  4. Step 4: Simplify right side
    144,970x = 86,459,521,600
  5. Step 5: Solve for x
    x = 86,459,521,600/144,970
  6. Step 6: Final answer
    x = 596,395.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.