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Finding the Third Proportional to 142,047 and 310,822

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Solution

The third proportional to 142,047 and 310,822 is: 680,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,047 : 310,822 = 310,822 : x
  2. Step 2: Convert to fraction form
    142,047/310,822 = 310,822/x
  3. Step 3: Cross multiply
    142,047x = 310,822 × 310,822
  4. Step 4: Simplify right side
    142,047x = 96,610,315,684
  5. Step 5: Solve for x
    x = 96,610,315,684/142,047
  6. Step 6: Final answer
    x = 680,129.22

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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.