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Finding the Third Proportional to 170,528 and 358,732

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Solution

The third proportional to 170,528 and 358,732 is: 754,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,528 : 358,732 = 358,732 : x
  2. Step 2: Convert to fraction form
    170,528/358,732 = 358,732/x
  3. Step 3: Cross multiply
    170,528x = 358,732 × 358,732
  4. Step 4: Simplify right side
    170,528x = 128,688,647,824
  5. Step 5: Solve for x
    x = 128,688,647,824/170,528
  6. Step 6: Final answer
    x = 754,648.20

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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.