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Finding the Third Proportional to 157,102 and 334,798

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Solution

The third proportional to 157,102 and 334,798 is: 713,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,102 : 334,798 = 334,798 : x
  2. Step 2: Convert to fraction form
    157,102/334,798 = 334,798/x
  3. Step 3: Cross multiply
    157,102x = 334,798 × 334,798
  4. Step 4: Simplify right side
    157,102x = 112,089,700,804
  5. Step 5: Solve for x
    x = 112,089,700,804/157,102
  6. Step 6: Final answer
    x = 713,483.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.