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Finding the Third Proportional to 160,392.10 and 249,788.93

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Solution

The third proportional to 160,392.10 and 249,788.93 is: 389,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,392.10 : 249,788.93 = 249,788.93 : x
  2. Step 2: Convert to fraction form
    160,392.10/249,788.93 = 249,788.93/x
  3. Step 3: Cross multiply
    160,392.10x = 249,788.93 × 249,788.93
  4. Step 4: Simplify right side
    160,392.10x = 62,394,510,126.23
  5. Step 5: Solve for x
    x = 62,394,510,126.23/160,392.10
  6. Step 6: Final answer
    x = 389,012.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.