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Finding the Third Proportional to 148,848 and 214,776

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Solution

The third proportional to 148,848 and 214,776 is: 309,904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,848 : 214,776 = 214,776 : x
  2. Step 2: Convert to fraction form
    148,848/214,776 = 214,776/x
  3. Step 3: Cross multiply
    148,848x = 214,776 × 214,776
  4. Step 4: Simplify right side
    148,848x = 46,128,730,176
  5. Step 5: Solve for x
    x = 46,128,730,176/148,848
  6. Step 6: Final answer
    x = 309,904.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.