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Finding the Third Proportional to 109,490 and 240,532

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Solution

The third proportional to 109,490 and 240,532 is: 528,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,490 : 240,532 = 240,532 : x
  2. Step 2: Convert to fraction form
    109,490/240,532 = 240,532/x
  3. Step 3: Cross multiply
    109,490x = 240,532 × 240,532
  4. Step 4: Simplify right side
    109,490x = 57,855,643,024
  5. Step 5: Solve for x
    x = 57,855,643,024/109,490
  6. Step 6: Final answer
    x = 528,410.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.