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Finding the Third Proportional to 142,254 and 304,749

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Solution

The third proportional to 142,254 and 304,749 is: 652,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,254 : 304,749 = 304,749 : x
  2. Step 2: Convert to fraction form
    142,254/304,749 = 304,749/x
  3. Step 3: Cross multiply
    142,254x = 304,749 × 304,749
  4. Step 4: Simplify right side
    142,254x = 92,871,953,001
  5. Step 5: Solve for x
    x = 92,871,953,001/142,254
  6. Step 6: Final answer
    x = 652,860.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.