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Finding the Third Proportional to 157,548 and 235,776

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Solution

The third proportional to 157,548 and 235,776 is: 352,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,548 : 235,776 = 235,776 : x
  2. Step 2: Convert to fraction form
    157,548/235,776 = 235,776/x
  3. Step 3: Cross multiply
    157,548x = 235,776 × 235,776
  4. Step 4: Simplify right side
    157,548x = 55,590,322,176
  5. Step 5: Solve for x
    x = 55,590,322,176/157,548
  6. Step 6: Final answer
    x = 352,846.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.