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Finding the Third Proportional to 249,021 and 373,786.50

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Solution

The third proportional to 249,021 and 373,786.50 is: 561,062.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,021 : 373,786.50 = 373,786.50 : x
  2. Step 2: Convert to fraction form
    249,021/373,786.50 = 373,786.50/x
  3. Step 3: Cross multiply
    249,021x = 373,786.50 × 373,786.50
  4. Step 4: Simplify right side
    249,021x = 139,716,347,582.25
  5. Step 5: Solve for x
    x = 139,716,347,582.25/249,021
  6. Step 6: Final answer
    x = 561,062.51

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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.