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Finding the Third Proportional to 173,324 and 378,547

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Solution

The third proportional to 173,324 and 378,547 is: 826,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,324 : 378,547 = 378,547 : x
  2. Step 2: Convert to fraction form
    173,324/378,547 = 378,547/x
  3. Step 3: Cross multiply
    173,324x = 378,547 × 378,547
  4. Step 4: Simplify right side
    173,324x = 143,297,831,209
  5. Step 5: Solve for x
    x = 143,297,831,209/173,324
  6. Step 6: Final answer
    x = 826,762.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.