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Finding the Third Proportional to 183,784.50 and 249,426

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Solution

The third proportional to 183,784.50 and 249,426 is: 338,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,784.50 : 249,426 = 249,426 : x
  2. Step 2: Convert to fraction form
    183,784.50/249,426 = 249,426/x
  3. Step 3: Cross multiply
    183,784.50x = 249,426 × 249,426
  4. Step 4: Simplify right side
    183,784.50x = 62,213,329,476
  5. Step 5: Solve for x
    x = 62,213,329,476/183,784.50
  6. Step 6: Final answer
    x = 338,512.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.