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Finding the Third Proportional to 250,830.50 and 535,681

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Solution

The third proportional to 250,830.50 and 535,681 is: 1,144,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,830.50 : 535,681 = 535,681 : x
  2. Step 2: Convert to fraction form
    250,830.50/535,681 = 535,681/x
  3. Step 3: Cross multiply
    250,830.50x = 535,681 × 535,681
  4. Step 4: Simplify right side
    250,830.50x = 286,954,133,761
  5. Step 5: Solve for x
    x = 286,954,133,761/250,830.50
  6. Step 6: Final answer
    x = 1,144,016.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.