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Finding the Third Proportional to 150,886.13 and 314,168.63

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Solution

The third proportional to 150,886.13 and 314,168.63 is: 654,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,886.13 : 314,168.63 = 314,168.63 : x
  2. Step 2: Convert to fraction form
    150,886.13/314,168.63 = 314,168.63/x
  3. Step 3: Cross multiply
    150,886.13x = 314,168.63 × 314,168.63
  4. Step 4: Simplify right side
    150,886.13x = 98,701,924,934.39
  5. Step 5: Solve for x
    x = 98,701,924,934.39/150,886.13
  6. Step 6: Final answer
    x = 654,148.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.