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Finding the Third Proportional to 147,854 and 316,444

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Solution

The third proportional to 147,854 and 316,444 is: 677,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,854 : 316,444 = 316,444 : x
  2. Step 2: Convert to fraction form
    147,854/316,444 = 316,444/x
  3. Step 3: Cross multiply
    147,854x = 316,444 × 316,444
  4. Step 4: Simplify right side
    147,854x = 100,136,805,136
  5. Step 5: Solve for x
    x = 100,136,805,136/147,854
  6. Step 6: Final answer
    x = 677,268.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.