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Finding the Third Proportional to 113,259.50 and 238,172.50

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Solution

The third proportional to 113,259.50 and 238,172.50 is: 500,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,259.50 : 238,172.50 = 238,172.50 : x
  2. Step 2: Convert to fraction form
    113,259.50/238,172.50 = 238,172.50/x
  3. Step 3: Cross multiply
    113,259.50x = 238,172.50 × 238,172.50
  4. Step 4: Simplify right side
    113,259.50x = 56,726,139,756.25
  5. Step 5: Solve for x
    x = 56,726,139,756.25/113,259.50
  6. Step 6: Final answer
    x = 500,851.05

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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.