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Finding the Third Proportional to 133,346.25 and 314,776.13

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Solution

The third proportional to 133,346.25 and 314,776.13 is: 743,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,346.25 : 314,776.13 = 314,776.13 : x
  2. Step 2: Convert to fraction form
    133,346.25/314,776.13 = 314,776.13/x
  3. Step 3: Cross multiply
    133,346.25x = 314,776.13 × 314,776.13
  4. Step 4: Simplify right side
    133,346.25x = 99,084,008,870.02
  5. Step 5: Solve for x
    x = 99,084,008,870.02/133,346.25
  6. Step 6: Final answer
    x = 743,058.08

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.