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Finding the Third Proportional to 235,413 and 348,541

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Solution

The third proportional to 235,413 and 348,541 is: 516,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,413 : 348,541 = 348,541 : x
  2. Step 2: Convert to fraction form
    235,413/348,541 = 348,541/x
  3. Step 3: Cross multiply
    235,413x = 348,541 × 348,541
  4. Step 4: Simplify right side
    235,413x = 121,480,828,681
  5. Step 5: Solve for x
    x = 121,480,828,681/235,413
  6. Step 6: Final answer
    x = 516,032.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.