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Finding the Third Proportional to 147,566.64 and 312,867.08

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Solution

The third proportional to 147,566.64 and 312,867.08 is: 663,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,566.64 : 312,867.08 = 312,867.08 : x
  2. Step 2: Convert to fraction form
    147,566.64/312,867.08 = 312,867.08/x
  3. Step 3: Cross multiply
    147,566.64x = 312,867.08 × 312,867.08
  4. Step 4: Simplify right side
    147,566.64x = 97,885,806,951.32
  5. Step 5: Solve for x
    x = 97,885,806,951.32/147,566.64
  6. Step 6: Final answer
    x = 663,332.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.