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Finding the Third Proportional to 147,580 and 221,402

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Solution

The third proportional to 147,580 and 221,402 is: 332,151.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,580 : 221,402 = 221,402 : x
  2. Step 2: Convert to fraction form
    147,580/221,402 = 221,402/x
  3. Step 3: Cross multiply
    147,580x = 221,402 × 221,402
  4. Step 4: Simplify right side
    147,580x = 49,018,845,604
  5. Step 5: Solve for x
    x = 49,018,845,604/147,580
  6. Step 6: Final answer
    x = 332,151.01

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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.