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Finding the Third Proportional to 243,184 and 388,490

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Solution

The third proportional to 243,184 and 388,490 is: 620,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,184 : 388,490 = 388,490 : x
  2. Step 2: Convert to fraction form
    243,184/388,490 = 388,490/x
  3. Step 3: Cross multiply
    243,184x = 388,490 × 388,490
  4. Step 4: Simplify right side
    243,184x = 150,924,480,100
  5. Step 5: Solve for x
    x = 150,924,480,100/243,184
  6. Step 6: Final answer
    x = 620,618.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.