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Finding the Third Proportional to 249,448.50 and 376,785

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Solution

The third proportional to 249,448.50 and 376,785 is: 569,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,448.50 : 376,785 = 376,785 : x
  2. Step 2: Convert to fraction form
    249,448.50/376,785 = 376,785/x
  3. Step 3: Cross multiply
    249,448.50x = 376,785 × 376,785
  4. Step 4: Simplify right side
    249,448.50x = 141,966,936,225
  5. Step 5: Solve for x
    x = 141,966,936,225/249,448.50
  6. Step 6: Final answer
    x = 569,123.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.