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Finding the Third Proportional to 116,970.75 and 248,521.50

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Solution

The third proportional to 116,970.75 and 248,521.50 is: 528,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,970.75 : 248,521.50 = 248,521.50 : x
  2. Step 2: Convert to fraction form
    116,970.75/248,521.50 = 248,521.50/x
  3. Step 3: Cross multiply
    116,970.75x = 248,521.50 × 248,521.50
  4. Step 4: Simplify right side
    116,970.75x = 61,762,935,962.25
  5. Step 5: Solve for x
    x = 61,762,935,962.25/116,970.75
  6. Step 6: Final answer
    x = 528,020.35

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.