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Finding the Third Proportional to 175,365.42 and 256,802.06

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Solution

The third proportional to 175,365.42 and 256,802.06 is: 376,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,365.42 : 256,802.06 = 256,802.06 : x
  2. Step 2: Convert to fraction form
    175,365.42/256,802.06 = 256,802.06/x
  3. Step 3: Cross multiply
    175,365.42x = 256,802.06 × 256,802.06
  4. Step 4: Simplify right side
    175,365.42x = 65,947,299,304.25
  5. Step 5: Solve for x
    x = 65,947,299,304.25/175,365.42
  6. Step 6: Final answer
    x = 376,056.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.