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Finding the Third Proportional to 157,497.75 and 229,496.63

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Solution

The third proportional to 157,497.75 and 229,496.63 is: 334,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,497.75 : 229,496.63 = 229,496.63 : x
  2. Step 2: Convert to fraction form
    157,497.75/229,496.63 = 229,496.63/x
  3. Step 3: Cross multiply
    157,497.75x = 229,496.63 × 229,496.63
  4. Step 4: Simplify right side
    157,497.75x = 52,668,700,886.39
  5. Step 5: Solve for x
    x = 52,668,700,886.39/157,497.75
  6. Step 6: Final answer
    x = 334,409.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.