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Finding the Third Proportional to 248,457 and 387,445.50

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Solution

The third proportional to 248,457 and 387,445.50 is: 604,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,457 : 387,445.50 = 387,445.50 : x
  2. Step 2: Convert to fraction form
    248,457/387,445.50 = 387,445.50/x
  3. Step 3: Cross multiply
    248,457x = 387,445.50 × 387,445.50
  4. Step 4: Simplify right side
    248,457x = 150,114,015,470.25
  5. Step 5: Solve for x
    x = 150,114,015,470.25/248,457
  6. Step 6: Final answer
    x = 604,185.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.