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Finding the Third Proportional to 160,454 and 249,555

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Solution

The third proportional to 160,454 and 249,555 is: 388,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,454 : 249,555 = 249,555 : x
  2. Step 2: Convert to fraction form
    160,454/249,555 = 249,555/x
  3. Step 3: Cross multiply
    160,454x = 249,555 × 249,555
  4. Step 4: Simplify right side
    160,454x = 62,277,698,025
  5. Step 5: Solve for x
    x = 62,277,698,025/160,454
  6. Step 6: Final answer
    x = 388,134.28

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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.