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Finding the Third Proportional to 142,466.63 and 304,003.13

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Solution

The third proportional to 142,466.63 and 304,003.13 is: 648,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,466.63 : 304,003.13 = 304,003.13 : x
  2. Step 2: Convert to fraction form
    142,466.63/304,003.13 = 304,003.13/x
  3. Step 3: Cross multiply
    142,466.63x = 304,003.13 × 304,003.13
  4. Step 4: Simplify right side
    142,466.63x = 92,417,900,009.77
  5. Step 5: Solve for x
    x = 92,417,900,009.77/142,466.63
  6. Step 6: Final answer
    x = 648,698.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.