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Finding the Third Proportional to 296,148 and 422,070

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Solution

The third proportional to 296,148 and 422,070 is: 601,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,148 : 422,070 = 422,070 : x
  2. Step 2: Convert to fraction form
    296,148/422,070 = 422,070/x
  3. Step 3: Cross multiply
    296,148x = 422,070 × 422,070
  4. Step 4: Simplify right side
    296,148x = 178,143,084,900
  5. Step 5: Solve for x
    x = 178,143,084,900/296,148
  6. Step 6: Final answer
    x = 601,533.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.