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Finding the Third Proportional to 158,301 and 333,004.50

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Solution

The third proportional to 158,301 and 333,004.50 is: 700,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,301 : 333,004.50 = 333,004.50 : x
  2. Step 2: Convert to fraction form
    158,301/333,004.50 = 333,004.50/x
  3. Step 3: Cross multiply
    158,301x = 333,004.50 × 333,004.50
  4. Step 4: Simplify right side
    158,301x = 110,891,997,020.25
  5. Step 5: Solve for x
    x = 110,891,997,020.25/158,301
  6. Step 6: Final answer
    x = 700,513.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.