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Finding the Third Proportional to 224,505.50 and 355,430.50

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Solution

The third proportional to 224,505.50 and 355,430.50 is: 562,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,505.50 : 355,430.50 = 355,430.50 : x
  2. Step 2: Convert to fraction form
    224,505.50/355,430.50 = 355,430.50/x
  3. Step 3: Cross multiply
    224,505.50x = 355,430.50 × 355,430.50
  4. Step 4: Simplify right side
    224,505.50x = 126,330,840,330.25
  5. Step 5: Solve for x
    x = 126,330,840,330.25/224,505.50
  6. Step 6: Final answer
    x = 562,707.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.