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Finding the Third Proportional to 110,725 and 243,594

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Solution

The third proportional to 110,725 and 243,594 is: 535,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,725 : 243,594 = 243,594 : x
  2. Step 2: Convert to fraction form
    110,725/243,594 = 243,594/x
  3. Step 3: Cross multiply
    110,725x = 243,594 × 243,594
  4. Step 4: Simplify right side
    110,725x = 59,338,036,836
  5. Step 5: Solve for x
    x = 59,338,036,836/110,725
  6. Step 6: Final answer
    x = 535,904.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.