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Finding the Third Proportional to 145,093 and 325,898

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Solution

The third proportional to 145,093 and 325,898 is: 732,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,093 : 325,898 = 325,898 : x
  2. Step 2: Convert to fraction form
    145,093/325,898 = 325,898/x
  3. Step 3: Cross multiply
    145,093x = 325,898 × 325,898
  4. Step 4: Simplify right side
    145,093x = 106,209,506,404
  5. Step 5: Solve for x
    x = 106,209,506,404/145,093
  6. Step 6: Final answer
    x = 732,009.86

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.