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Finding the Third Proportional to 140,905 and 302,303

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Solution

The third proportional to 140,905 and 302,303 is: 648,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,905 : 302,303 = 302,303 : x
  2. Step 2: Convert to fraction form
    140,905/302,303 = 302,303/x
  3. Step 3: Cross multiply
    140,905x = 302,303 × 302,303
  4. Step 4: Simplify right side
    140,905x = 91,387,103,809
  5. Step 5: Solve for x
    x = 91,387,103,809/140,905
  6. Step 6: Final answer
    x = 648,572.47

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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.