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Finding the Third Proportional to 170,365 and 358,362

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Solution

The third proportional to 170,365 and 358,362 is: 753,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,365 : 358,362 = 358,362 : x
  2. Step 2: Convert to fraction form
    170,365/358,362 = 358,362/x
  3. Step 3: Cross multiply
    170,365x = 358,362 × 358,362
  4. Step 4: Simplify right side
    170,365x = 128,423,323,044
  5. Step 5: Solve for x
    x = 128,423,323,044/170,365
  6. Step 6: Final answer
    x = 753,812.83

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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.