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Finding the Third Proportional to 142,658 and 308,356

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Solution

The third proportional to 142,658 and 308,356 is: 666,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,658 : 308,356 = 308,356 : x
  2. Step 2: Convert to fraction form
    142,658/308,356 = 308,356/x
  3. Step 3: Cross multiply
    142,658x = 308,356 × 308,356
  4. Step 4: Simplify right side
    142,658x = 95,083,422,736
  5. Step 5: Solve for x
    x = 95,083,422,736/142,658
  6. Step 6: Final answer
    x = 666,513.08

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