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Finding the Third Proportional to 145,407 and 308,391

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Solution

The third proportional to 145,407 and 308,391 is: 654,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,407 : 308,391 = 308,391 : x
  2. Step 2: Convert to fraction form
    145,407/308,391 = 308,391/x
  3. Step 3: Cross multiply
    145,407x = 308,391 × 308,391
  4. Step 4: Simplify right side
    145,407x = 95,105,008,881
  5. Step 5: Solve for x
    x = 95,105,008,881/145,407
  6. Step 6: Final answer
    x = 654,060.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.