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Finding the Third Proportional to 145,824 and 319,080

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Solution

The third proportional to 145,824 and 319,080 is: 698,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,824 : 319,080 = 319,080 : x
  2. Step 2: Convert to fraction form
    145,824/319,080 = 319,080/x
  3. Step 3: Cross multiply
    145,824x = 319,080 × 319,080
  4. Step 4: Simplify right side
    145,824x = 101,812,046,400
  5. Step 5: Solve for x
    x = 101,812,046,400/145,824
  6. Step 6: Final answer
    x = 698,184.43

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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.