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Finding the Third Proportional to 235,041.75 and 358,073.63

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Solution

The third proportional to 235,041.75 and 358,073.63 is: 545,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,041.75 : 358,073.63 = 358,073.63 : x
  2. Step 2: Convert to fraction form
    235,041.75/358,073.63 = 358,073.63/x
  3. Step 3: Cross multiply
    235,041.75x = 358,073.63 × 358,073.63
  4. Step 4: Simplify right side
    235,041.75x = 128,216,720,920.64
  5. Step 5: Solve for x
    x = 128,216,720,920.64/235,041.75
  6. Step 6: Final answer
    x = 545,506.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.