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Finding the Third Proportional to 100,328.63 and 155,398.50

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Solution

The third proportional to 100,328.63 and 155,398.50 is: 240,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,328.63 : 155,398.50 = 155,398.50 : x
  2. Step 2: Convert to fraction form
    100,328.63/155,398.50 = 155,398.50/x
  3. Step 3: Cross multiply
    100,328.63x = 155,398.50 × 155,398.50
  4. Step 4: Simplify right side
    100,328.63x = 24,148,693,802.25
  5. Step 5: Solve for x
    x = 24,148,693,802.25/100,328.63
  6. Step 6: Final answer
    x = 240,695.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.