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Finding the Third Proportional to 170,410 and 358,446

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Solution

The third proportional to 170,410 and 358,446 is: 753,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,410 : 358,446 = 358,446 : x
  2. Step 2: Convert to fraction form
    170,410/358,446 = 358,446/x
  3. Step 3: Cross multiply
    170,410x = 358,446 × 358,446
  4. Step 4: Simplify right side
    170,410x = 128,483,534,916
  5. Step 5: Solve for x
    x = 128,483,534,916/170,410
  6. Step 6: Final answer
    x = 753,967.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.