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Finding the Third Proportional to 175,261.50 and 249,768

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Solution

The third proportional to 175,261.50 and 249,768 is: 355,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,261.50 : 249,768 = 249,768 : x
  2. Step 2: Convert to fraction form
    175,261.50/249,768 = 249,768/x
  3. Step 3: Cross multiply
    175,261.50x = 249,768 × 249,768
  4. Step 4: Simplify right side
    175,261.50x = 62,384,053,824
  5. Step 5: Solve for x
    x = 62,384,053,824/175,261.50
  6. Step 6: Final answer
    x = 355,948.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.