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Finding the Third Proportional to 232,473.16 and 359,068.57

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Solution

The third proportional to 232,473.16 and 359,068.57 is: 554,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,473.16 : 359,068.57 = 359,068.57 : x
  2. Step 2: Convert to fraction form
    232,473.16/359,068.57 = 359,068.57/x
  3. Step 3: Cross multiply
    232,473.16x = 359,068.57 × 359,068.57
  4. Step 4: Simplify right side
    232,473.16x = 128,930,238,186.26
  5. Step 5: Solve for x
    x = 128,930,238,186.26/232,473.16
  6. Step 6: Final answer
    x = 554,602.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.