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Finding the Third Proportional to 163,038.75 and 348,465.38

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Solution

The third proportional to 163,038.75 and 348,465.38 is: 744,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,038.75 : 348,465.38 = 348,465.38 : x
  2. Step 2: Convert to fraction form
    163,038.75/348,465.38 = 348,465.38/x
  3. Step 3: Cross multiply
    163,038.75x = 348,465.38 × 348,465.38
  4. Step 4: Simplify right side
    163,038.75x = 121,428,117,573.89
  5. Step 5: Solve for x
    x = 121,428,117,573.89/163,038.75
  6. Step 6: Final answer
    x = 744,780.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.