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Finding the Third Proportional to 153,050.34 and 241,313.34

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Solution

The third proportional to 153,050.34 and 241,313.34 is: 380,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,050.34 : 241,313.34 = 241,313.34 : x
  2. Step 2: Convert to fraction form
    153,050.34/241,313.34 = 241,313.34/x
  3. Step 3: Cross multiply
    153,050.34x = 241,313.34 × 241,313.34
  4. Step 4: Simplify right side
    153,050.34x = 58,232,129,871.81
  5. Step 5: Solve for x
    x = 58,232,129,871.81/153,050.34
  6. Step 6: Final answer
    x = 380,476.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.