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Finding the Third Proportional to 221,802.75 and 347,476.13

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Solution

The third proportional to 221,802.75 and 347,476.13 is: 544,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,802.75 : 347,476.13 = 347,476.13 : x
  2. Step 2: Convert to fraction form
    221,802.75/347,476.13 = 347,476.13/x
  3. Step 3: Cross multiply
    221,802.75x = 347,476.13 × 347,476.13
  4. Step 4: Simplify right side
    221,802.75x = 120,739,657,445.02
  5. Step 5: Solve for x
    x = 120,739,657,445.02/221,802.75
  6. Step 6: Final answer
    x = 544,356.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.