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Finding the Third Proportional to 142,905 and 308,409

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Solution

The third proportional to 142,905 and 308,409 is: 665,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,905 : 308,409 = 308,409 : x
  2. Step 2: Convert to fraction form
    142,905/308,409 = 308,409/x
  3. Step 3: Cross multiply
    142,905x = 308,409 × 308,409
  4. Step 4: Simplify right side
    142,905x = 95,116,111,281
  5. Step 5: Solve for x
    x = 95,116,111,281/142,905
  6. Step 6: Final answer
    x = 665,589.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.