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Finding the Third Proportional to 144,064 and 310,332

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Solution

The third proportional to 144,064 and 310,332 is: 668,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,064 : 310,332 = 310,332 : x
  2. Step 2: Convert to fraction form
    144,064/310,332 = 310,332/x
  3. Step 3: Cross multiply
    144,064x = 310,332 × 310,332
  4. Step 4: Simplify right side
    144,064x = 96,305,950,224
  5. Step 5: Solve for x
    x = 96,305,950,224/144,064
  6. Step 6: Final answer
    x = 668,494.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.