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Finding the Third Proportional to 242,064 and 373,304

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Solution

The third proportional to 242,064 and 373,304 is: 575,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,064 : 373,304 = 373,304 : x
  2. Step 2: Convert to fraction form
    242,064/373,304 = 373,304/x
  3. Step 3: Cross multiply
    242,064x = 373,304 × 373,304
  4. Step 4: Simplify right side
    242,064x = 139,355,876,416
  5. Step 5: Solve for x
    x = 139,355,876,416/242,064
  6. Step 6: Final answer
    x = 575,698.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.