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Finding the Third Proportional to 109,056 and 235,298

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Solution

The third proportional to 109,056 and 235,298 is: 507,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,056 : 235,298 = 235,298 : x
  2. Step 2: Convert to fraction form
    109,056/235,298 = 235,298/x
  3. Step 3: Cross multiply
    109,056x = 235,298 × 235,298
  4. Step 4: Simplify right side
    109,056x = 55,365,148,804
  5. Step 5: Solve for x
    x = 55,365,148,804/109,056
  6. Step 6: Final answer
    x = 507,676.32

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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.