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Finding the Third Proportional to 130,848 and 201,402

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Solution

The third proportional to 130,848 and 201,402 is: 309,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,848 : 201,402 = 201,402 : x
  2. Step 2: Convert to fraction form
    130,848/201,402 = 201,402/x
  3. Step 3: Cross multiply
    130,848x = 201,402 × 201,402
  4. Step 4: Simplify right side
    130,848x = 40,562,765,604
  5. Step 5: Solve for x
    x = 40,562,765,604/130,848
  6. Step 6: Final answer
    x = 309,999.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.