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Finding the Third Proportional to 205,510.50 and 307,430.25

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Solution

The third proportional to 205,510.50 and 307,430.25 is: 459,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,510.50 : 307,430.25 = 307,430.25 : x
  2. Step 2: Convert to fraction form
    205,510.50/307,430.25 = 307,430.25/x
  3. Step 3: Cross multiply
    205,510.50x = 307,430.25 × 307,430.25
  4. Step 4: Simplify right side
    205,510.50x = 94,513,358,615.06
  5. Step 5: Solve for x
    x = 94,513,358,615.06/205,510.50
  6. Step 6: Final answer
    x = 459,895.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.