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Finding the Third Proportional to 249,930.88 and 365,999.45

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Solution

The third proportional to 249,930.88 and 365,999.45 is: 535,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,930.88 : 365,999.45 = 365,999.45 : x
  2. Step 2: Convert to fraction form
    249,930.88/365,999.45 = 365,999.45/x
  3. Step 3: Cross multiply
    249,930.88x = 365,999.45 × 365,999.45
  4. Step 4: Simplify right side
    249,930.88x = 133,955,596,828.43
  5. Step 5: Solve for x
    x = 133,955,596,828.43/249,930.88
  6. Step 6: Final answer
    x = 535,970.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.