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Finding the Third Proportional to 132,430 and 170,038.50

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Solution

The third proportional to 132,430 and 170,038.50 is: 218,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,430 : 170,038.50 = 170,038.50 : x
  2. Step 2: Convert to fraction form
    132,430/170,038.50 = 170,038.50/x
  3. Step 3: Cross multiply
    132,430x = 170,038.50 × 170,038.50
  4. Step 4: Simplify right side
    132,430x = 28,913,091,482.25
  5. Step 5: Solve for x
    x = 28,913,091,482.25/132,430
  6. Step 6: Final answer
    x = 218,327.35

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.