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Finding the Third Proportional to 152,941.50 and 333,531

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Solution

The third proportional to 152,941.50 and 333,531 is: 727,356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,941.50 : 333,531 = 333,531 : x
  2. Step 2: Convert to fraction form
    152,941.50/333,531 = 333,531/x
  3. Step 3: Cross multiply
    152,941.50x = 333,531 × 333,531
  4. Step 4: Simplify right side
    152,941.50x = 111,242,927,961
  5. Step 5: Solve for x
    x = 111,242,927,961/152,941.50
  6. Step 6: Final answer
    x = 727,356.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.