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Finding the Third Proportional to 175,664.25 and 390,631.50

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Solution

The third proportional to 175,664.25 and 390,631.50 is: 868,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,664.25 : 390,631.50 = 390,631.50 : x
  2. Step 2: Convert to fraction form
    175,664.25/390,631.50 = 390,631.50/x
  3. Step 3: Cross multiply
    175,664.25x = 390,631.50 × 390,631.50
  4. Step 4: Simplify right side
    175,664.25x = 152,592,968,792.25
  5. Step 5: Solve for x
    x = 152,592,968,792.25/175,664.25
  6. Step 6: Final answer
    x = 868,662.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.