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Finding the Third Proportional to 242,848.13 and 380,143.13

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Solution

The third proportional to 242,848.13 and 380,143.13 is: 595,058.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,848.13 : 380,143.13 = 380,143.13 : x
  2. Step 2: Convert to fraction form
    242,848.13/380,143.13 = 380,143.13/x
  3. Step 3: Cross multiply
    242,848.13x = 380,143.13 × 380,143.13
  4. Step 4: Simplify right side
    242,848.13x = 144,508,795,484.77
  5. Step 5: Solve for x
    x = 144,508,795,484.77/242,848.13
  6. Step 6: Final answer
    x = 595,058.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.