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Finding the Third Proportional to 248,328.75 and 536,349.75

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Solution

The third proportional to 248,328.75 and 536,349.75 is: 1,158,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,328.75 : 536,349.75 = 536,349.75 : x
  2. Step 2: Convert to fraction form
    248,328.75/536,349.75 = 536,349.75/x
  3. Step 3: Cross multiply
    248,328.75x = 536,349.75 × 536,349.75
  4. Step 4: Simplify right side
    248,328.75x = 287,671,054,325.06
  5. Step 5: Solve for x
    x = 287,671,054,325.06/248,328.75
  6. Step 6: Final answer
    x = 1,158,428.31

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