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Finding the Third Proportional to 157,308 and 342,260

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Solution

The third proportional to 157,308 and 342,260 is: 744,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,308 : 342,260 = 342,260 : x
  2. Step 2: Convert to fraction form
    157,308/342,260 = 342,260/x
  3. Step 3: Cross multiply
    157,308x = 342,260 × 342,260
  4. Step 4: Simplify right side
    157,308x = 117,141,907,600
  5. Step 5: Solve for x
    x = 117,141,907,600/157,308
  6. Step 6: Final answer
    x = 744,665.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.