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Finding the Third Proportional to 147,330.56 and 316,166.63

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Solution

The third proportional to 147,330.56 and 316,166.63 is: 678,483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,330.56 : 316,166.63 = 316,166.63 : x
  2. Step 2: Convert to fraction form
    147,330.56/316,166.63 = 316,166.63/x
  3. Step 3: Cross multiply
    147,330.56x = 316,166.63 × 316,166.63
  4. Step 4: Simplify right side
    147,330.56x = 99,961,334,763.89
  5. Step 5: Solve for x
    x = 99,961,334,763.89/147,330.56
  6. Step 6: Final answer
    x = 678,483.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.