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Finding the Third Proportional to 145,810 and 303,254

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Solution

The third proportional to 145,810 and 303,254 is: 630,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,810 : 303,254 = 303,254 : x
  2. Step 2: Convert to fraction form
    145,810/303,254 = 303,254/x
  3. Step 3: Cross multiply
    145,810x = 303,254 × 303,254
  4. Step 4: Simplify right side
    145,810x = 91,962,988,516
  5. Step 5: Solve for x
    x = 91,962,988,516/145,810
  6. Step 6: Final answer
    x = 630,704.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.