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Finding the Third Proportional to 78,528 and 170,436

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Solution

The third proportional to 78,528 and 170,436 is: 369,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,528 : 170,436 = 170,436 : x
  2. Step 2: Convert to fraction form
    78,528/170,436 = 170,436/x
  3. Step 3: Cross multiply
    78,528x = 170,436 × 170,436
  4. Step 4: Simplify right side
    78,528x = 29,048,430,096
  5. Step 5: Solve for x
    x = 29,048,430,096/78,528
  6. Step 6: Final answer
    x = 369,911.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.