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Finding the Third Proportional to 178,106 and 275,428

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Solution

The third proportional to 178,106 and 275,428 is: 425,929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,106 : 275,428 = 275,428 : x
  2. Step 2: Convert to fraction form
    178,106/275,428 = 275,428/x
  3. Step 3: Cross multiply
    178,106x = 275,428 × 275,428
  4. Step 4: Simplify right side
    178,106x = 75,860,583,184
  5. Step 5: Solve for x
    x = 75,860,583,184/178,106
  6. Step 6: Final answer
    x = 425,929.41

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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.