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Finding the Third Proportional to 200,030 and 292,146

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Solution

The third proportional to 200,030 and 292,146 is: 426,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,030 : 292,146 = 292,146 : x
  2. Step 2: Convert to fraction form
    200,030/292,146 = 292,146/x
  3. Step 3: Cross multiply
    200,030x = 292,146 × 292,146
  4. Step 4: Simplify right side
    200,030x = 85,349,285,316
  5. Step 5: Solve for x
    x = 85,349,285,316/200,030
  6. Step 6: Final answer
    x = 426,682.42

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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.