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Finding the Third Proportional to 144,818.25 and 302,871

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Solution

The third proportional to 144,818.25 and 302,871 is: 633,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,818.25 : 302,871 = 302,871 : x
  2. Step 2: Convert to fraction form
    144,818.25/302,871 = 302,871/x
  3. Step 3: Cross multiply
    144,818.25x = 302,871 × 302,871
  4. Step 4: Simplify right side
    144,818.25x = 91,730,842,641
  5. Step 5: Solve for x
    x = 91,730,842,641/144,818.25
  6. Step 6: Final answer
    x = 633,420.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.