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Finding the Third Proportional to 113,175 and 244,135.50

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Solution

The third proportional to 113,175 and 244,135.50 is: 526,637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,175 : 244,135.50 = 244,135.50 : x
  2. Step 2: Convert to fraction form
    113,175/244,135.50 = 244,135.50/x
  3. Step 3: Cross multiply
    113,175x = 244,135.50 × 244,135.50
  4. Step 4: Simplify right side
    113,175x = 59,602,142,360.25
  5. Step 5: Solve for x
    x = 59,602,142,360.25/113,175
  6. Step 6: Final answer
    x = 526,637.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.