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Finding the Third Proportional to 162,985.61 and 249,323.70

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Solution

The third proportional to 162,985.61 and 249,323.70 is: 381,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,985.61 : 249,323.70 = 249,323.70 : x
  2. Step 2: Convert to fraction form
    162,985.61/249,323.70 = 249,323.70/x
  3. Step 3: Cross multiply
    162,985.61x = 249,323.70 × 249,323.70
  4. Step 4: Simplify right side
    162,985.61x = 62,162,305,044.28
  5. Step 5: Solve for x
    x = 62,162,305,044.28/162,985.61
  6. Step 6: Final answer
    x = 381,397.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.