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Finding the Third Proportional to 160,616 and 249,820

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Solution

The third proportional to 160,616 and 249,820 is: 388,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,616 : 249,820 = 249,820 : x
  2. Step 2: Convert to fraction form
    160,616/249,820 = 249,820/x
  3. Step 3: Cross multiply
    160,616x = 249,820 × 249,820
  4. Step 4: Simplify right side
    160,616x = 62,410,032,400
  5. Step 5: Solve for x
    x = 62,410,032,400/160,616
  6. Step 6: Final answer
    x = 388,566.72

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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.