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Finding the Third Proportional to 146,549.25 and 304,762.50

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Solution

The third proportional to 146,549.25 and 304,762.50 is: 633,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,549.25 : 304,762.50 = 304,762.50 : x
  2. Step 2: Convert to fraction form
    146,549.25/304,762.50 = 304,762.50/x
  3. Step 3: Cross multiply
    146,549.25x = 304,762.50 × 304,762.50
  4. Step 4: Simplify right side
    146,549.25x = 92,880,181,406.25
  5. Step 5: Solve for x
    x = 92,880,181,406.25/146,549.25
  6. Step 6: Final answer
    x = 633,781.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.