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Finding the Third Proportional to 251,336.50 and 520,169

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Solution

The third proportional to 251,336.50 and 520,169 is: 1,076,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,336.50 : 520,169 = 520,169 : x
  2. Step 2: Convert to fraction form
    251,336.50/520,169 = 520,169/x
  3. Step 3: Cross multiply
    251,336.50x = 520,169 × 520,169
  4. Step 4: Simplify right side
    251,336.50x = 270,575,788,561
  5. Step 5: Solve for x
    x = 270,575,788,561/251,336.50
  6. Step 6: Final answer
    x = 1,076,547.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.