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Finding the Third Proportional to 170,514 and 255,775.50

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Solution

The third proportional to 170,514 and 255,775.50 is: 383,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,514 : 255,775.50 = 255,775.50 : x
  2. Step 2: Convert to fraction form
    170,514/255,775.50 = 255,775.50/x
  3. Step 3: Cross multiply
    170,514x = 255,775.50 × 255,775.50
  4. Step 4: Simplify right side
    170,514x = 65,421,106,400.25
  5. Step 5: Solve for x
    x = 65,421,106,400.25/170,514
  6. Step 6: Final answer
    x = 383,670.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.