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Finding the Third Proportional to 242,048.25 and 373,278.38

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Solution

The third proportional to 242,048.25 and 373,278.38 is: 575,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,048.25 : 373,278.38 = 373,278.38 : x
  2. Step 2: Convert to fraction form
    242,048.25/373,278.38 = 373,278.38/x
  3. Step 3: Cross multiply
    242,048.25x = 373,278.38 × 373,278.38
  4. Step 4: Simplify right side
    242,048.25x = 139,336,745,242.64
  5. Step 5: Solve for x
    x = 139,336,745,242.64/242,048.25
  6. Step 6: Final answer
    x = 575,656.90

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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.