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Finding the Third Proportional to 161,283 and 250,756.50

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Solution

The third proportional to 161,283 and 250,756.50 is: 389,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,283 : 250,756.50 = 250,756.50 : x
  2. Step 2: Convert to fraction form
    161,283/250,756.50 = 250,756.50/x
  3. Step 3: Cross multiply
    161,283x = 250,756.50 × 250,756.50
  4. Step 4: Simplify right side
    161,283x = 62,878,822,292.25
  5. Step 5: Solve for x
    x = 62,878,822,292.25/161,283
  6. Step 6: Final answer
    x = 389,866.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.