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Finding the Third Proportional to 145,091 and 325,894

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Solution

The third proportional to 145,091 and 325,894 is: 732,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,091 : 325,894 = 325,894 : x
  2. Step 2: Convert to fraction form
    145,091/325,894 = 325,894/x
  3. Step 3: Cross multiply
    145,091x = 325,894 × 325,894
  4. Step 4: Simplify right side
    145,091x = 106,206,899,236
  5. Step 5: Solve for x
    x = 106,206,899,236/145,091
  6. Step 6: Final answer
    x = 732,001.98

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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.