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Finding the Third Proportional to 145,152.63 and 200,574.67

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Solution

The third proportional to 145,152.63 and 200,574.67 is: 277,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,152.63 : 200,574.67 = 200,574.67 : x
  2. Step 2: Convert to fraction form
    145,152.63/200,574.67 = 200,574.67/x
  3. Step 3: Cross multiply
    145,152.63x = 200,574.67 × 200,574.67
  4. Step 4: Simplify right side
    145,152.63x = 40,230,197,430.77
  5. Step 5: Solve for x
    x = 40,230,197,430.77/145,152.63
  6. Step 6: Final answer
    x = 277,157.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.