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Finding the Third Proportional to 142,816.50 and 310,209.75

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Solution

The third proportional to 142,816.50 and 310,209.75 is: 673,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,816.50 : 310,209.75 = 310,209.75 : x
  2. Step 2: Convert to fraction form
    142,816.50/310,209.75 = 310,209.75/x
  3. Step 3: Cross multiply
    142,816.50x = 310,209.75 × 310,209.75
  4. Step 4: Simplify right side
    142,816.50x = 96,230,088,995.06
  5. Step 5: Solve for x
    x = 96,230,088,995.06/142,816.50
  6. Step 6: Final answer
    x = 673,802.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.