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Finding the Third Proportional to 174,988.69 and 278,572.50

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Solution

The third proportional to 174,988.69 and 278,572.50 is: 443,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,988.69 : 278,572.50 = 278,572.50 : x
  2. Step 2: Convert to fraction form
    174,988.69/278,572.50 = 278,572.50/x
  3. Step 3: Cross multiply
    174,988.69x = 278,572.50 × 278,572.50
  4. Step 4: Simplify right side
    174,988.69x = 77,602,637,756.25
  5. Step 5: Solve for x
    x = 77,602,637,756.25/174,988.69
  6. Step 6: Final answer
    x = 443,472.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.