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Finding the Third Proportional to 157,541 and 235,281

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Solution

The third proportional to 157,541 and 235,281 is: 351,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,541 : 235,281 = 235,281 : x
  2. Step 2: Convert to fraction form
    157,541/235,281 = 235,281/x
  3. Step 3: Cross multiply
    157,541x = 235,281 × 235,281
  4. Step 4: Simplify right side
    157,541x = 55,357,148,961
  5. Step 5: Solve for x
    x = 55,357,148,961/157,541
  6. Step 6: Final answer
    x = 351,382.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.