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Finding the Third Proportional to 113,445 and 238,495.50

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Solution

The third proportional to 113,445 and 238,495.50 is: 501,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,445 : 238,495.50 = 238,495.50 : x
  2. Step 2: Convert to fraction form
    113,445/238,495.50 = 238,495.50/x
  3. Step 3: Cross multiply
    113,445x = 238,495.50 × 238,495.50
  4. Step 4: Simplify right side
    113,445x = 56,880,103,520.25
  5. Step 5: Solve for x
    x = 56,880,103,520.25/113,445
  6. Step 6: Final answer
    x = 501,389.25

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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.