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Finding the Third Proportional to 249,741 and 373,135.50

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Solution

The third proportional to 249,741 and 373,135.50 is: 557,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,741 : 373,135.50 = 373,135.50 : x
  2. Step 2: Convert to fraction form
    249,741/373,135.50 = 373,135.50/x
  3. Step 3: Cross multiply
    249,741x = 373,135.50 × 373,135.50
  4. Step 4: Simplify right side
    249,741x = 139,230,101,360.25
  5. Step 5: Solve for x
    x = 139,230,101,360.25/249,741
  6. Step 6: Final answer
    x = 557,497.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.