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Finding the Third Proportional to 157,613 and 342,018

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Solution

The third proportional to 157,613 and 342,018 is: 742,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,613 : 342,018 = 342,018 : x
  2. Step 2: Convert to fraction form
    157,613/342,018 = 342,018/x
  3. Step 3: Cross multiply
    157,613x = 342,018 × 342,018
  4. Step 4: Simplify right side
    157,613x = 116,976,312,324
  5. Step 5: Solve for x
    x = 116,976,312,324/157,613
  6. Step 6: Final answer
    x = 742,174.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.