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Finding the Third Proportional to 183,752 and 249,376

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Solution

The third proportional to 183,752 and 249,376 is: 338,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,752 : 249,376 = 249,376 : x
  2. Step 2: Convert to fraction form
    183,752/249,376 = 249,376/x
  3. Step 3: Cross multiply
    183,752x = 249,376 × 249,376
  4. Step 4: Simplify right side
    183,752x = 62,188,389,376
  5. Step 5: Solve for x
    x = 62,188,389,376/183,752
  6. Step 6: Final answer
    x = 338,436.53

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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.