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Finding the Third Proportional to 30,258 and 70,312.50

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Solution

The third proportional to 30,258 and 70,312.50 is: 163,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258 : 70,312.50 = 70,312.50 : x
  2. Step 2: Convert to fraction form
    30,258/70,312.50 = 70,312.50/x
  3. Step 3: Cross multiply
    30,258x = 70,312.50 × 70,312.50
  4. Step 4: Simplify right side
    30,258x = 4,943,847,656.25
  5. Step 5: Solve for x
    x = 4,943,847,656.25/30,258
  6. Step 6: Final answer
    x = 163,389.77

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.