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Finding the Third Proportional to 191,496 and 292,428

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Solution

The third proportional to 191,496 and 292,428 is: 446,558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,496 : 292,428 = 292,428 : x
  2. Step 2: Convert to fraction form
    191,496/292,428 = 292,428/x
  3. Step 3: Cross multiply
    191,496x = 292,428 × 292,428
  4. Step 4: Simplify right side
    191,496x = 85,514,135,184
  5. Step 5: Solve for x
    x = 85,514,135,184/191,496
  6. Step 6: Final answer
    x = 446,558.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.