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Finding the Third Proportional to 203,324 and 314,547

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Solution

The third proportional to 203,324 and 314,547 is: 486,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,324 : 314,547 = 314,547 : x
  2. Step 2: Convert to fraction form
    203,324/314,547 = 314,547/x
  3. Step 3: Cross multiply
    203,324x = 314,547 × 314,547
  4. Step 4: Simplify right side
    203,324x = 98,939,815,209
  5. Step 5: Solve for x
    x = 98,939,815,209/203,324
  6. Step 6: Final answer
    x = 486,611.59

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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.