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Finding the Third Proportional to 164,356.88 and 249,588

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Solution

The third proportional to 164,356.88 and 249,588 is: 379,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,356.88 : 249,588 = 249,588 : x
  2. Step 2: Convert to fraction form
    164,356.88/249,588 = 249,588/x
  3. Step 3: Cross multiply
    164,356.88x = 249,588 × 249,588
  4. Step 4: Simplify right side
    164,356.88x = 62,294,169,744
  5. Step 5: Solve for x
    x = 62,294,169,744/164,356.88
  6. Step 6: Final answer
    x = 379,017.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.