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Finding the Third Proportional to 163,838.95 and 221,356.13

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Solution

The third proportional to 163,838.95 and 221,356.13 is: 299,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,838.95 : 221,356.13 = 221,356.13 : x
  2. Step 2: Convert to fraction form
    163,838.95/221,356.13 = 221,356.13/x
  3. Step 3: Cross multiply
    163,838.95x = 221,356.13 × 221,356.13
  4. Step 4: Simplify right side
    163,838.95x = 48,998,534,075.02
  5. Step 5: Solve for x
    x = 48,998,534,075.02/163,838.95
  6. Step 6: Final answer
    x = 299,065.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.