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Finding the Third Proportional to 242,066 and 373,307

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Solution

The third proportional to 242,066 and 373,307 is: 575,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,066 : 373,307 = 373,307 : x
  2. Step 2: Convert to fraction form
    242,066/373,307 = 373,307/x
  3. Step 3: Cross multiply
    242,066x = 373,307 × 373,307
  4. Step 4: Simplify right side
    242,066x = 139,358,116,249
  5. Step 5: Solve for x
    x = 139,358,116,249/242,066
  6. Step 6: Final answer
    x = 575,702.97

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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.