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Finding the Third Proportional to 178,590 and 262,053

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Solution

The third proportional to 178,590 and 262,053 is: 384,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,590 : 262,053 = 262,053 : x
  2. Step 2: Convert to fraction form
    178,590/262,053 = 262,053/x
  3. Step 3: Cross multiply
    178,590x = 262,053 × 262,053
  4. Step 4: Simplify right side
    178,590x = 68,671,774,809
  5. Step 5: Solve for x
    x = 68,671,774,809/178,590
  6. Step 6: Final answer
    x = 384,521.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.