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Finding the Third Proportional to 153,083 and 241,364

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Solution

The third proportional to 153,083 and 241,364 is: 380,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,083 : 241,364 = 241,364 : x
  2. Step 2: Convert to fraction form
    153,083/241,364 = 241,364/x
  3. Step 3: Cross multiply
    153,083x = 241,364 × 241,364
  4. Step 4: Simplify right side
    153,083x = 58,256,580,496
  5. Step 5: Solve for x
    x = 58,256,580,496/153,083
  6. Step 6: Final answer
    x = 380,555.52

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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.