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Finding the Third Proportional to 157,233 and 241,966.50

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Solution

The third proportional to 157,233 and 241,966.50 is: 372,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,233 : 241,966.50 = 241,966.50 : x
  2. Step 2: Convert to fraction form
    157,233/241,966.50 = 241,966.50/x
  3. Step 3: Cross multiply
    157,233x = 241,966.50 × 241,966.50
  4. Step 4: Simplify right side
    157,233x = 58,547,787,122.25
  5. Step 5: Solve for x
    x = 58,547,787,122.25/157,233
  6. Step 6: Final answer
    x = 372,363.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.