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Finding the Third Proportional to 160,284 and 249,498

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Solution

The third proportional to 160,284 and 249,498 is: 388,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,284 : 249,498 = 249,498 : x
  2. Step 2: Convert to fraction form
    160,284/249,498 = 249,498/x
  3. Step 3: Cross multiply
    160,284x = 249,498 × 249,498
  4. Step 4: Simplify right side
    160,284x = 62,249,252,004
  5. Step 5: Solve for x
    x = 62,249,252,004/160,284
  6. Step 6: Final answer
    x = 388,368.47

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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.