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Finding the Third Proportional to 109,058 and 235,300

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Solution

The third proportional to 109,058 and 235,300 is: 507,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,058 : 235,300 = 235,300 : x
  2. Step 2: Convert to fraction form
    109,058/235,300 = 235,300/x
  3. Step 3: Cross multiply
    109,058x = 235,300 × 235,300
  4. Step 4: Simplify right side
    109,058x = 55,366,090,000
  5. Step 5: Solve for x
    x = 55,366,090,000/109,058
  6. Step 6: Final answer
    x = 507,675.64

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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.