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Finding the Third Proportional to 170,730 and 250,558

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Solution

The third proportional to 170,730 and 250,558 is: 367,711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,730 : 250,558 = 250,558 : x
  2. Step 2: Convert to fraction form
    170,730/250,558 = 250,558/x
  3. Step 3: Cross multiply
    170,730x = 250,558 × 250,558
  4. Step 4: Simplify right side
    170,730x = 62,779,311,364
  5. Step 5: Solve for x
    x = 62,779,311,364/170,730
  6. Step 6: Final answer
    x = 367,711.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.