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Finding the Third Proportional to 140,690 and 308,061.75

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Solution

The third proportional to 140,690 and 308,061.75 is: 674,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,690 : 308,061.75 = 308,061.75 : x
  2. Step 2: Convert to fraction form
    140,690/308,061.75 = 308,061.75/x
  3. Step 3: Cross multiply
    140,690x = 308,061.75 × 308,061.75
  4. Step 4: Simplify right side
    140,690x = 94,902,041,813.06
  5. Step 5: Solve for x
    x = 94,902,041,813.06/140,690
  6. Step 6: Final answer
    x = 674,547.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.