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Finding the Third Proportional to 249,437.81 and 385,377.19

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Solution

The third proportional to 249,437.81 and 385,377.19 is: 595,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,437.81 : 385,377.19 = 385,377.19 : x
  2. Step 2: Convert to fraction form
    249,437.81/385,377.19 = 385,377.19/x
  3. Step 3: Cross multiply
    249,437.81x = 385,377.19 × 385,377.19
  4. Step 4: Simplify right side
    249,437.81x = 148,515,576,645.41
  5. Step 5: Solve for x
    x = 148,515,576,645.41/249,437.81
  6. Step 6: Final answer
    x = 595,401.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.