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Finding the Third Proportional to 113,448 and 238,506

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Solution

The third proportional to 113,448 and 238,506 is: 501,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,448 : 238,506 = 238,506 : x
  2. Step 2: Convert to fraction form
    113,448/238,506 = 238,506/x
  3. Step 3: Cross multiply
    113,448x = 238,506 × 238,506
  4. Step 4: Simplify right side
    113,448x = 56,885,112,036
  5. Step 5: Solve for x
    x = 56,885,112,036/113,448
  6. Step 6: Final answer
    x = 501,420.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.