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Finding the Third Proportional to 134,496.50 and 291,259.25

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Solution

The third proportional to 134,496.50 and 291,259.25 is: 630,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,496.50 : 291,259.25 = 291,259.25 : x
  2. Step 2: Convert to fraction form
    134,496.50/291,259.25 = 291,259.25/x
  3. Step 3: Cross multiply
    134,496.50x = 291,259.25 × 291,259.25
  4. Step 4: Simplify right side
    134,496.50x = 84,831,950,710.56
  5. Step 5: Solve for x
    x = 84,831,950,710.56/134,496.50
  6. Step 6: Final answer
    x = 630,737.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.