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Finding the Third Proportional to 173,622.38 and 260,895.80

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Solution

The third proportional to 173,622.38 and 260,895.80 is: 392,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,622.38 : 260,895.80 = 260,895.80 : x
  2. Step 2: Convert to fraction form
    173,622.38/260,895.80 = 260,895.80/x
  3. Step 3: Cross multiply
    173,622.38x = 260,895.80 × 260,895.80
  4. Step 4: Simplify right side
    173,622.38x = 68,066,616,827.04
  5. Step 5: Solve for x
    x = 68,066,616,827.04/173,622.38
  6. Step 6: Final answer
    x = 392,038.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.